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Volumn 18, Issue 3, 2008, Pages 733-746

The Bohr topology of discrete nonabelian groups

Author keywords

Bohr compactification; Bohr topology; Discrete group; Dually embedded group; Finite conjugacy group; Finitely generated group; Free non abelian group

Indexed keywords


EID: 60549087122     PISSN: 09495932     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (6)

References (35)
  • 1
    • 0010826575 scopus 로고
    • Unsolvability of some algorithmic problems in the theory of groups (Russian)
    • Adyan, S. I., Unsolvability of some algorithmic problems in the theory of groups (Russian), Trudy Moskov. Mat. Obsc. 6 (1957), 231-298.
    • (1957) Trudy Moskov. Mat. Obsc , vol.6 , pp. 231-298
    • Adyan, S.I.1
  • 2
    • 0010826576 scopus 로고
    • Finitely presented groups and algorithms (Russian)
    • -, Finitely presented groups and algorithms (Russian), Dokl. Akad. Nauk SSSR (N.S.) 117 (1957), 9-12.
    • (1957) Dokl. Akad. Nauk SSSR (N.S.) , vol.117 , pp. 9-12
    • Adyan, S.I.1
  • 3
    • 0004168675 scopus 로고
    • Topics in combinatorial group theory
    • Birkhäuser Verlag, Basel
    • Baumslag, G., "Topics in combinatorial group theory," Lectures in Mathematics, Birkhäuser Verlag, Basel, 1993.
    • (1993) Lectures in Mathematics
    • Baumslag, G.1
  • 4
    • 4444276224 scopus 로고
    • Compactification and duality of topological groups
    • Chu, H., Compactification and duality of topological groups, Trans. Amer. Math. Soc. 123 (1966), 310-324.
    • (1966) Trans. Amer. Math. Soc , vol.123 , pp. 310-324
    • Chu, H.1
  • 7
    • 0000816928 scopus 로고
    • Topologies induced by groups of characters
    • Comfort, W. W., and K. A. Ross, Topologies induced by groups of characters, Fundamenta Math. 55 (1964), 283-291.
    • (1964) Fundamenta Math , vol.55 , pp. 283-291
    • Comfort, W.W.1    Ross, K.A.2
  • 8
    • 0034392423 scopus 로고    scopus 로고
    • Suitable sets in some topological groups
    • Dikranjan, D., and F. J. Trigos-Arrieta, Suitable sets in some topological groups, J. Group Theory 3 (2000), 293-321.
    • (2000) J. Group Theory , vol.3 , pp. 293-321
    • Dikranjan, D.1    Trigos-Arrieta, F.J.2
  • 10
    • 0002432379 scopus 로고
    • The maximal totally bounded group topology on G and the biggest minimal G-space for abelian groups G
    • van Douwen, E. K., The maximal totally bounded group topology on G and the biggest minimal G-space for abelian groups G, Topology Appl. 34 (1990), 69-91.
    • (1990) Topology Appl , vol.34 , pp. 69-91
    • van Douwen, E.K.1
  • 11
    • 4444234577 scopus 로고    scopus 로고
    • Interpolation sets and the Bohr topology of locally compact groups
    • Galindo, J., S. and Hernández, Interpolation sets and the Bohr topology of locally compact groups, Advances in Math. 188 (2004), 51-68.
    • (2004) Advances in Math , vol.188 , pp. 51-68
    • Galindo, J.S.1    Hernández2
  • 13
    • 0001535687 scopus 로고
    • Uniform boundedness for groups
    • Glicksberg, I., Uniform boundedness for groups, Canad. J. Math. 14 (1962), 269-276.
    • (1962) Canad. J. Math , vol.14 , pp. 269-276
    • Glicksberg, I.1
  • 15
    • 0012996623 scopus 로고    scopus 로고
    • Bohr compactifications of discrete structures
    • Hart, J. E., and K. Kunen, Bohr compactifications of discrete structures, Fund. Math. 160 (1999), 101-151.
    • (1999) Fund. Math , vol.160 , pp. 101-151
    • Hart, J.E.1    Kunen, K.2
  • 16
    • 4444234537 scopus 로고    scopus 로고
    • Bohr compactifications of non-abelian groups
    • -, Bohr compactifications of non-abelian groups, Topology Proc. 26 (2001/02), 593-626.
    • (2002) Topology Proc , vol.26 , pp. 593-626
    • Hart, J.E.1    Kunen, K.2
  • 17
    • 33750076335 scopus 로고    scopus 로고
    • Some new results on the Chu duality of discrete groups
    • Hernández, S., and T. S. Wu, Some new results on the Chu duality of discrete groups, Monatsh. Math. 149 (2006), 215-232.
    • (2006) Monatsh. Math , vol.149 , pp. 215-232
    • Hernández, S.1    Wu, T.S.2
  • 19
    • 4944248971 scopus 로고
    • Dualität lokalkompakter Gruppen
    • Springer-Verlag, Berlin-Heidelberg-New York
    • Heyer, H., Dualität lokalkompakter Gruppen, Lecture Notes in Mathematics 150, Springer-Verlag, Berlin-Heidelberg-New York, 1970.
    • (1970) Lecture Notes in Mathematics , vol.150
    • Heyer, H.1
  • 20
    • 0348102074 scopus 로고
    • Groups with Chu duality
    • Probability and Information Theory, Springer-Verlag
    • -, Groups with Chu duality In: Probability and Information Theory, Lecture Notes in Mathematics 296 (Springer-Verlag), 1973 181-215.
    • (1973) Lecture Notes in Mathematics , vol.296 , pp. 181-215
  • 22
    • 60549117980 scopus 로고
    • On the Bohr topology in amenable topological groups
    • Landstad, M. B., On the Bohr topology in amenable topological groups, Math. Scand. 28 (1971), 207-214.
    • (1971) Math. Scand , vol.28 , pp. 207-214
    • Landstad, M.B.1
  • 25
    • 0011571251 scopus 로고
    • On almost periodic compactifications of locally compact groups
    • Moran, W., On almost periodic compactifications of locally compact groups, J. London Math. Soc. (2) 3 (1971), 507-512.
    • (1971) J. London Math. Soc. (2) , vol.3 , pp. 507-512
    • Moran, W.1
  • 26
    • 84974061285 scopus 로고
    • Uniform boundedness for nonabelian groups
    • Moskowitz, M., Uniform boundedness for nonabelian groups, Math. Proc. Cambridge Philos. Soc. 97 (1985), 107-110.
    • (1985) Math. Proc. Cambridge Philos. Soc , vol.97 , pp. 107-110
    • Moskowitz, M.1
  • 27
    • 33750078725 scopus 로고
    • Zwei Klassen lokalkompakter maximal fastperiodischer Gruppen
    • Poguntke, D., Zwei Klassen lokalkompakter maximal fastperiodischer Gruppen, Monatsh. Math. 81 (1976), 15-40.
    • (1976) Monatsh. Math , vol.81 , pp. 15-40
    • Poguntke, D.1
  • 28
    • 0001161359 scopus 로고
    • Recursive unsolvability of group theoretic problems
    • Rabin, M. O., Recursive unsolvability of group theoretic problems, Ann. of Math. (2) 67 (1958), 172-194.
    • (1958) Ann. of Math. (2) , vol.67 , pp. 172-194
    • Rabin, M.O.1
  • 29
    • 4444235351 scopus 로고    scopus 로고
    • The Bohr topology of Moore groups
    • Remus, D., and F. J. Trigos-Arrieta, The Bohr topology of Moore groups, Top. Appl. 97 (1999), 85-98.
    • (1999) Top. Appl , vol.97 , pp. 85-98
    • Remus, D.1    Trigos-Arrieta, F.J.2
  • 31
    • 4444362870 scopus 로고    scopus 로고
    • On infinite groups and unitary duality,
    • PhD Thesis, Case Western Reserve University, Cleveland, Ohio
    • Riggins, L., "On infinite groups and unitary duality," PhD Thesis, Case Western Reserve University, Cleveland, Ohio, 1998.
    • (1998)
    • Riggins, L.1
  • 33
    • 0000644892 scopus 로고
    • Free subgroups in linear groups
    • Tits, J., Free subgroups in linear groups, J. Algebra, 20 (1972), 250-270.
    • (1972) J. Algebra , vol.20 , pp. 250-270
    • Tits, J.1
  • 35
    • 3142552697 scopus 로고
    • In: Papers on General Topology and Applications, Gorham, ME, New York Acad. Sci, New York
    • Wu, T. S., and L. Riggins, Maximally almost periodic groups and a theorem of Glicksberg, In: Papers on General Topology and Applications, Gorham, ME, 1995, New York Acad. Sci., New York, 1996, 454-464.
    • (1995) Maximally almost periodic groups and a theorem of Glicksberg , pp. 454-464
    • Wu, T.S.1    Riggins, L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.