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A proof of Higman's embedding theorem using Britton extensions of groups
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S. Aanderaa, "A proof of Higman's embedding theorem using Britton extensions of groups", Stud. Logic Found. Math. 71 (1973), 1-18.
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Algorithmic insolubility of problems of recognition of certain properties of groups
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Russian
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S. I. Adian, "Algorithmic insolubility of problems of recognition of certain properties of groups", Dokl. Akad. Nauk SSSR 103 (1955), 533-535. (Russian)
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Dokl. Akad. Nauk SSSR
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Adian, S.I.1
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3
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0010826575
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Insolubility of some algorithmic problems in the theory of groups
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Russian
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S. I. Adian, "Insolubility of some algorithmic problems in the theory of groups", Trudy Moskov. Mat. Obshch. 6 (1957), 231-298. (Russian)
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Trudy Moskov. Mat. Obshch.
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Adian, S.I.1
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4
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0039220650
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The role of the cancellation law in presenting cancellation semi-groups by means of denning relations
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Russian
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S. I. Adian, "The role of the cancellation law in presenting cancellation semi-groups by means of denning relations", Dokl. Akad. Nauk SSSR 113 (1957), 1191-1194. (Russian)
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Dokl. Akad. Nauk SSSR
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, pp. 1191-1194
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Adian, S.I.1
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5
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Finitely presented groups and algorithms
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Russian
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S. I. Adian, "Finitely presented groups and algorithms", Dokl. Akad. Nauk SSSR 117 (1957), 9-12. (Russian)
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(1957)
Dokl. Akad. Nauk SSSR
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Adian, S.I.1
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6
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0009943645
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On algorithmic problems in effectively complete classes of groups
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Russian
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S. I. Adian, "On algorithmic problems in effectively complete classes of groups", Dokl. Akad. Nauk SSSR 123 (1958), 13-16. (Russian)
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(1958)
Dokl. Akad. Nauk SSSR
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Adian, S.I.1
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0040999209
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On the embeddability of semigroups in groups
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S. I. Adian, "On the embeddability of semigroups in groups", Dokl. Akad. Nauk SSSR 133 (1960), 255-257; English transl., Soviet Math. Dokl. 1 (1960), 819-821.
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Dokl. Akad. Nauk SSSR
, vol.133
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Adian, S.I.1
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8
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0001590764
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English transl.
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S. I. Adian, "On the embeddability of semigroups in groups", Dokl. Akad. Nauk SSSR 133 (1960), 255-257; English transl., Soviet Math. Dokl. 1 (1960), 819-821.
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Soviet Math. Dokl.
, vol.1
, pp. 819-821
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9
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0040999188
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The word problem in associative systems of a special form
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S. I. Adian, "The word problem in associative systems of a special form", Dokl. Akad. Nauk SSSR 135 (1960), 1297-1300; English transl., Soviet Math. Dokl. 1 (1960), 1360-1363.
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Dokl. Akad. Nauk SSSR
, vol.135
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Adian, S.I.1
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10
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English transl.
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S. I. Adian, "The word problem in associative systems of a special form", Dokl. Akad. Nauk SSSR 135 (1960), 1297-1300; English transl., Soviet Math. Dokl. 1 (1960), 1360-1363.
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(1960)
Soviet Math. Dokl.
, vol.1
, pp. 1360-1363
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11
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0040405096
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Identities in special semigroups
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S. I. Adian, "Identities in special semigroups", Dokl. Akad. Nauk SSSR 143 (1962), 499-502; English transl., Soviet Math. Dokl. 3 (1962), 401-404.
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(1962)
Dokl. Akad. Nauk SSSR
, vol.143
, pp. 499-502
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Adian, S.I.1
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English transl.
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S. I. Adian, "Identities in special semigroups", Dokl. Akad. Nauk SSSR 143 (1962), 499-502; English transl., Soviet Math. Dokl. 3 (1962), 401-404.
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(1962)
Soviet Math. Dokl.
, vol.3
, pp. 401-404
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13
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Defining relations and algorithmic problems for groups and semigroups
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Nauka, Moscow
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S. I. Adian, Defining relations and algorithmic problems for groups and semigroups Trudy Mat. Inst. Steklov., vol. 85, Nauka, Moscow 1966; English transl., Proc. Steklov Inst. Math., vol. 85, 1966.
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Trudy Mat. Inst. Steklov.
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Adian, S.I.1
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English transl.
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S. I. Adian, Defining relations and algorithmic problems for groups and semigroups Trudy Mat. Inst. Steklov., vol. 85, Nauka, Moscow 1966; English transl., Proc. Steklov Inst. Math., vol. 85, 1966.
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Proc. Steklov Inst. Math.
, vol.85
, pp. 1966
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15
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0039812575
-
Infinite irreducible systems of group identities
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S. I. Adian, "Infinite irreducible systems of group identities", Dokl. Akad. Nauk SSSR 190 (1970), 499-501; English transl., Soviet Math. Dokl. 11 (1970), 113-115.
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(1970)
Dokl. Akad. Nauk SSSR
, vol.190
, pp. 499-501
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Adian, S.I.1
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0039812577
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English transl.
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S. I. Adian, "Infinite irreducible systems of group identities", Dokl. Akad. Nauk SSSR 190 (1970), 499-501; English transl., Soviet Math. Dokl. 11 (1970), 113-115.
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(1970)
Soviet Math. Dokl.
, vol.11
, pp. 113-115
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17
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-
Infinite irreducible systems of group identities
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S. I. Adian, "Infinite irreducible systems of group identities", Izv. Akad. Nauk SSSR Ser. Mat. 34 (1970), 715-734; English transl., Math. USSR-Izv. 4 (1970), 721-739.
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Izv. Akad. Nauk SSSR Ser. Mat.
, vol.34
, pp. 715-734
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Adian, S.I.1
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18
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-
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English transl.
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S. I. Adian, "Infinite irreducible systems of group identities", Izv. Akad. Nauk SSSR Ser. Mat. 34 (1970), 715-734; English transl., Math. USSR-Izv. 4 (1970), 721-739.
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(1970)
Math. USSR-Izv.
, vol.4
, pp. 721-739
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19
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Nauka, Moscow English transl., (Ergebnisse der Mathematik und ihrer Grenzgebiete, 95) Springer-Verlag, Berlin-Heidelberg-New York
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S. I. Adian, The Burnside problem and identities in groups, Nauka, Moscow 1975; English transl., (Ergebnisse der Mathematik und ihrer Grenzgebiete, 95) Springer-Verlag, Berlin-Heidelberg-New York 1979.
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The Burnside Problem and Identities in Groups
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Adian, S.I.1
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Transformations of words in a semigroup presented by a system of defining relations
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S. I. Adian, "Transformations of words in a semigroup presented by a system of defining relations", Algebra i Logika 15 (1976), 611-621; English transl., Algebra and Logic 15 (1976) (1978), 379-386.
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Algebra I Logika
, vol.15
, pp. 611-621
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Adian, S.I.1
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English transl.
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S. I. Adian, "Transformations of words in a semigroup presented by a system of defining relations", Algebra i Logika 15 (1976), 611-621; English transl., Algebra and Logic 15 (1976) (1978), 379-386.
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Algebra and Logic
, vol.15
, pp. 379-386
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On the divisibility problem for one-relator monoids
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S. I. Adian, "On the divisibility problem for one-relator monoids", Mat. Zametki 55:1 (1994), 3-9; English transl., Math. Notes 55 (1994), 3-7.
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Mat. Zametki
, vol.55
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Adian, S.I.1
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English transl.
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S. I. Adian, "On the divisibility problem for one-relator monoids", Mat. Zametki 55:1 (1994), 3-9; English transl., Math. Notes 55 (1994), 3-7.
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Math. Notes
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Normal subgroups of free periodic groups
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S. I. Adian, "Normal subgroups of free periodic groups", Izv. Akad. Nauk SSSR Ser. Mat. 45 (1981), 931-947; English transl., Math. USSR-Izv. 19 (1982), 215-240.
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Izv. Akad. Nauk SSSR Ser. Mat.
, vol.45
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25
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English transl.
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S. I. Adian, "Normal subgroups of free periodic groups", Izv. Akad. Nauk SSSR Ser. Mat. 45 (1981), 931-947; English transl., Math. USSR-Izv. 19 (1982), 215-240.
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Math. USSR-Izv.
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26
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On the word and divisibility problems in semigroups with a single defining relation
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S. I. Adian and G. U. Oganesyan, "On the word and divisibility problems in semigroups with a single defining relation", Izv. Akad. Nauk SSSR Ser. Mat. 42 (1978), 219-225; English transl., Math. USSR-Izv. 12 (1978), 207-212.
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Izv. Akad. Nauk SSSR Ser. Mat.
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Oganesyan, G.U.2
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English transl.
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S. I. Adian and G. U. Oganesyan, "On the word and divisibility problems in semigroups with a single defining relation", Izv. Akad. Nauk SSSR Ser. Mat. 42 (1978), 219-225; English transl., Math. USSR-Izv. 12 (1978), 207-212.
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Math. USSR-Izv.
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The word and divisibility problems in semigroups with a single defining relation
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S. I. Adian and G. U. Oganesyan, "The word and divisibility problems in semigroups with a single defining relation", Mat. Zametki 41 (1987), 412-421; English transl., Math. Notes 41 (1987), 235-240.
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Mat. Zametki
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S. I. Adian and G. U. Oganesyan, "The word and divisibility problems in semigroups with a single defining relation", Mat. Zametki 41 (1987), 412-421; English transl., Math. Notes 41 (1987), 235-240.
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Solution of the occurrence problem for a certain class of groups in collection: Questions in the theory of groups and semigroups
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V. N. Bezverkhnii, "Solution of the occurrence problem for a certain class of groups", in Collection: Questions in the theory of groups and semigroups, Tulsk. Gos. Ped. Inst., Tula 1972, pp. 3-86. (Russian)
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VINITI, Moscow
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L. A. Bokut' and G. P. Kukin, "Unsolvable algorithmic problems for semigroups, groups and rings", in Collection: Itogi Nauki i Tekhniki, Ser. Algebra, Topologiya, Geometriya, vol. 25, VINITI, Moscow 1987, pp. 3-66; English transl., J. Soviet Math. 45 (1989), 871-911.
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Collection: Itogi Nauki I Tekhniki, Ser. Algebra, Topologiya, Geometriya
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L. A. Bokut' and G. P. Kukin, "Unsolvable algorithmic problems for semigroups, groups and rings", in Collection: Itogi Nauki i Tekhniki, Ser. Algebra, Topologiya, Geometriya, vol. 25, VINITI, Moscow 1987, pp. 3-66; English transl., J. Soviet Math. 45 (1989), 871-911.
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Certain simple unsolvable problems of group theory. V, VI
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W. W. Boone, "Certain simple unsolvable problems of group theory. V, VI", Proc. Konink. Nederl. Akad. Wetensch. Ser. A 60 (1957), 22-27, 227-232.
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The word problem
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An algebraic characterization of the solvability of the word problem
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W. W. Boone and G. Higman, "An algebraic characterization of the solvability of the word problem", J. Austral. Math. Soc. 18:1 (1974), 41-53.
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On a problem of J. H. C. Whitehead and a problem of Alonzo Church
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W. W. Boone and H. Rogers, Jr., "On a problem of J. H. C. Whitehead and a problem of Alonzo Church", Math. Scand. 19 (1966), 185-192.
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Simple examples of groups with unsolvable word problem
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V. V. Borisov, "Simple examples of groups with unsolvable word problem", Mat. Zametki 6 (1969), 521-532; English transl., Math. Notes 6 (1969), 768-775.
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V. V. Borisov, "Simple examples of groups with unsolvable word problem", Mat. Zametki 6 (1969), 521-532; English transl., Math. Notes 6 (1969), 768-775.
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A. A. Chebotar', "Subgroups of groups with one defining relation that are representable in the form of a direct product", Izv. Vyssh. Uchebn. Zaved. Mat. 1978, no. 8, 109-118; English transl. in Soviet Math. (Iz. VUZ) 22 (1978).
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On the relation between the word problem and the conjugacy problem in finitely presented groups
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A. A. Fridman, "On the relation between the word problem and the conjugacy problem in finitely presented groups", Trudy Moskav. Mat. Obshch. 9 (1960), 329-356. (Russian)
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On the impossibility of strengthening certain results of Greendlinger and Lyndon
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A. I. Gol'berg, "On the impossibility of strengthening certain results of Greendlinger and Lyndon ", Uspekhi Mat. Nauk 33:6 (1978), 201-202; English transl., Russian Math. Surveys 33:6 (1978), 229-230.
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