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Volumn 17, Issue 7, 2007, Pages 1377-1387

On groups which contain no HNN-extensions

Author keywords

Free subsemigroup; HNN extension; Pronormal subgroup

Indexed keywords


EID: 36549056507     PISSN: 02181967     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218196707004311     Document Type: Article
Times cited : (21)

References (22)
  • 1
    • 0141694319 scopus 로고    scopus 로고
    • Solvable groups of exponential growth and HNN-extensions
    • Pusan de Gruyter, Berlin
    • R. Alperin, Solvable groups of exponential growth and HNN-extensions, in Groups - Korea '96, Pusan (de Gruyter, Berlin 2000), pp. 1-5.
    • (2000) Groups - Korea '96 , pp. 1-5
    • Alperin, R.1
  • 2
  • 4
    • 84972502518 scopus 로고
    • Elementary amenable groups
    • C. Chou, Elementary amenable groups, Illinois J. Math. 24 (1980) 396-407.
    • (1980) Illinois J. Math , vol.24 , pp. 396-407
    • Chou, C.1
  • 6
    • 0002457074 scopus 로고
    • in denen das Normalteilersein transitiv ist
    • W. Gaschütz, Gruppen, in denen das Normalteilersein transitiv ist, J. Reine Angew. Math. 198 (1957) 87-92.
    • (1957) J. Reine Angew. Math , vol.198 , pp. 87-92
    • Gaschütz, W.1    Gruppen2
  • 7
    • 33144482582 scopus 로고    scopus 로고
    • Some topics in the theory of pronormal subgroups of groups, Topics in Infinite Groups
    • F. de Giovanni and G. Vincenzi, Some topics in the theory of pronormal subgroups of groups, Topics in Infinite Groups, Quaderni di Matematica 8 (2001) 175-202.
    • (2001) Quaderni di Matematica , vol.8 , pp. 175-202
    • de Giovanni, F.1    Vincenzi, G.2
  • 8
    • 0141582848 scopus 로고
    • On nil-algebras and finitely approximable p-groups
    • E. S. Golod, On nil-algebras and finitely approximable p-groups, Amer. Math. Soc. Trans. (2) 48 (1965) 103-106.
    • (1965) Amer. Math. Soc. Trans , vol.48 , Issue.2 , pp. 103-106
    • Golod, E.S.1
  • 9
    • 84956137775 scopus 로고
    • Degrees of growth of finitely generated groups and the theory of invariant means
    • R. I. Grigorčuk, Degrees of growth of finitely generated groups and the theory of invariant means, Math. USSR-Izv. 125 (1985) 259-300.
    • (1985) Math. USSR-Izv , vol.125 , pp. 259-300
    • Grigorčuk, R.I.1
  • 10
    • 51649160427 scopus 로고
    • Groups of polynomial growth and expanding maps
    • M. Gromov, Groups of polynomial growth and expanding maps, Inst. Hautes Etudes Sci. Publ. Math. 53 (1981) 53-78.
    • (1981) Inst. Hautes Etudes Sci. Publ. Math , vol.53 , pp. 53-78
    • Gromov, M.1
  • 11
    • 34250286281 scopus 로고
    • On finitely generated groups with many profinite-closed subgroups
    • S. C. Jeanes and J. S. Wilson, On finitely generated groups with many profinite-closed subgroups, Arch. Math. (Basel) 31 (1978) 120-122.
    • (1978) Arch. Math. (Basel) , vol.31 , pp. 120-122
    • Jeanes, S.C.1    Wilson, J.S.2
  • 13
    • 2442709586 scopus 로고
    • Groups in which all subgroups are pronormal
    • N. F. Kuzennyi and I. Y. Subbotin, Groups in which all subgroups are pronormal, Ukrainian Math. J. 39 (1987) 251-254.
    • (1987) Ukrainian Math. J , vol.39 , pp. 251-254
    • Kuzennyi, N.F.1    Subbotin, I.Y.2
  • 16
    • 84968502600 scopus 로고
    • Finite groups with pronormal subgroups
    • T. A. Peng, Finite groups with pronormal subgroups, Proc. Amer. Math. Soc. 20 (1969) 232-234.
    • (1969) Proc. Amer. Math. Soc , vol.20 , pp. 232-234
    • Peng, T.A.1
  • 17
    • 84963017389 scopus 로고
    • A minimality property of polycyclic groups
    • A. H. Rhemtulla, A minimality property of polycyclic groups, J. London Math. Soc. 42 (1967) 456-462.
    • (1967) J. London Math. Soc , vol.42 , pp. 456-462
    • Rhemtulla, A.H.1
  • 18
    • 0012070865 scopus 로고
    • Groups in which normality is a transitive relation
    • D. J. S. Robinson, Groups in which normality is a transitive relation, Proc. Cambridge Philos. Soc. 60 (1964) 21-38.
    • (1964) Proc. Cambridge Philos. Soc , vol.60 , pp. 21-38
    • Robinson, D.J.S.1
  • 19
    • 84968481476 scopus 로고
    • A note on finite groups in which normality is transitive
    • D. J. S. Robinson, A note on finite groups in which normality is transitive, Proc. Amer. Math. Soc. 19 (1968) 933-937.
    • (1968) Proc. Amer. Math. Soc , vol.19 , pp. 933-937
    • Robinson, D.J.S.1
  • 21
    • 84968513733 scopus 로고
    • Invariant measures and growth conditions
    • J. M. Rosenblatt, Invariant measures and growth conditions, Trans. Amer. Math. Soc. 193 (1974) 33-53.
    • (1974) Trans. Amer. Math. Soc , vol.193 , pp. 33-53
    • Rosenblatt, J.M.1
  • 22
    • 0013520266 scopus 로고
    • Finitely presented soluble groups
    • Academic Press, London
    • R. Strebel, Finitely presented soluble groups, in Group Theory (Academic Press, London, 1984), pp. 257-314.
    • (1984) Group Theory , pp. 257-314
    • Strebel, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.