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Volumn 17, Issue 5, 2008, Pages 1479-1523

Countable primitive groups

Author keywords

Frattini subgroups; Hyperbolic groups; Linear groups; Mapping class groups; Maximal subgroups; Permutation groups; Primitive actions

Indexed keywords


EID: 39549120272     PISSN: 1016443X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00039-007-0630-y     Document Type: Article
Times cited : (29)

References (40)
  • 1
    • 39549113411 scopus 로고    scopus 로고
    • Generic groups acting on regular trees
    • to appear; arXiv.math.GR/0702736
    • M. ABÉRT, Y. GLASNER, Generic groups acting on regular trees, Trans. AMS, to appear; arXiv.math.GR/0702736.
    • Trans. AMS
    • ABÉRT, M.1    GLASNER, Y.2
  • 2
    • 0034360817 scopus 로고    scopus 로고
    • The existence and location of the near Frattini subgroup in certain generalized free products
    • R.B.J.T. ALLENBY, The existence and location of the near Frattini subgroup in certain generalized free products, Houston J. Math. 26:3 (2000), 463-468.
    • (2000) Houston J. Math , vol.26 , Issue.3 , pp. 463-468
    • ALLENBY, R.B.J.T.1
  • 3
    • 30344477339 scopus 로고    scopus 로고
    • On the upper near Frattini subgroup of a generalized free product
    • electronic
    • R.B.J.T. ALLENBY, On the upper near Frattini subgroup of a generalized free product, Houston J. Math. 31:4 (2005), 999-1005 (electronic).
    • (2005) Houston J. Math , vol.31 , Issue.4 , pp. 999-1005
    • ALLENBY, R.B.J.T.1
  • 4
    • 0039231940 scopus 로고
    • On the Frattini subgroups of generalized free products
    • R.B.J.T. ALLENBY, C.Y. TANG, On the Frattini subgroups of generalized free products, J. Algebra 52:2 (1978), 460-474.
    • (1978) J. Algebra , vol.52 , Issue.2 , pp. 460-474
    • ALLENBY, R.B.J.T.1    TANG, C.Y.2
  • 5
    • 0002815442 scopus 로고    scopus 로고
    • M. ASCHBACHER, L. SCOTT, Maximal subgroups of finite groups, J. Algebra, 92:1 (1985), 44-80.
    • M. ASCHBACHER, L. SCOTT, Maximal subgroups of finite groups, J. Algebra, 92:1 (1985), 44-80.
  • 6
    • 39549089253 scopus 로고    scopus 로고
    • Near Frattini subgroups of residually finite generalized free products of groups
    • M.K. AZARIAN, Near Frattini subgroups of residually finite generalized free products of groups, Int. J. Math. Math. Sci. 26:2 (2001), 117-121.
    • (2001) Int. J. Math. Math. Sci , vol.26 , Issue.2 , pp. 117-121
    • AZARIAN, M.K.1
  • 8
    • 0032389284 scopus 로고    scopus 로고
    • A topological characterisation of hyperbolic groups
    • B.H. BOWDITCH, A topological characterisation of hyperbolic groups, J. Amer. Math. Soc. 11:3 (1998), 643-667.
    • (1998) J. Amer. Math. Soc , vol.11 , Issue.3 , pp. 643-667
    • BOWDITCH, B.H.1
  • 9
    • 39549109737 scopus 로고    scopus 로고
    • B.H. BOWDITCH, Convergence groups and configuration spaces, in Geometric Group Theory Down Under (Canberra, 1996), de Gruyter, Berlin (1999), 23-54.
    • B.H. BOWDITCH, Convergence groups and configuration spaces, in "Geometric Group Theory Down Under (Canberra, 1996)", de Gruyter, Berlin (1999), 23-54.
  • 10
    • 0037445085 scopus 로고    scopus 로고
    • On dense free subgroups of Lie groups
    • E. BREUILLARD, T. GELANDER, On dense free subgroups of Lie groups, J. Algebra 261:2 (2003), 448-467.
    • (2003) J. Algebra , vol.261 , Issue.2 , pp. 448-467
    • BREUILLARD, E.1    GELANDER, T.2
  • 11
    • 39049159078 scopus 로고    scopus 로고
    • Topological Tits alternative
    • E. BREUILLARD, T. GELANDER, Topological Tits alternative, Annals of Math., 166:2 (2007), 427-474.
    • (2007) Annals of Math , vol.166 , Issue.2 , pp. 427-474
    • BREUILLARD, E.1    GELANDER, T.2
  • 12
    • 39549101919 scopus 로고
    • Some permutation representations of a free group
    • P.J. CAMERON, Some permutation representations of a free group, European J. Combin. 8:3 (1987), 257-260.
    • (1987) European J. Combin , vol.8 , Issue.3 , pp. 257-260
    • CAMERON, P.J.1
  • 13
    • 0000410111 scopus 로고
    • Most finitely generated permutation groups are free
    • J.D. DIXON, Most finitely generated permutation groups are free, Bull. London Math. Soc. 22:3 (1990), 222-226.
    • (1990) Bull. London Math. Soc , vol.22 , Issue.3 , pp. 222-226
    • DIXON, J.D.1
  • 16
    • 39549103995 scopus 로고    scopus 로고
    • 2ℂ. Math.arXiv.math.GT/0504441, 2005.
    • 2ℂ. Math.arXiv.math.GT/0504441, 2005.
  • 17
    • 0000255952 scopus 로고
    • The Frattini subgroups of finitely generated groups
    • P. HALL, The Frattini subgroups of finitely generated groups, Proc. London Math. Soc. (3) 11 (1961), 327-352.
    • (1961) Proc. London Math. Soc. (3) , vol.11 , pp. 327-352
    • HALL, P.1
  • 19
    • 39549121415 scopus 로고
    • Subgroups of Teichmüller modular groups and their Frattini subgroups
    • N. V. IVANOV, Subgroups of Teichmüller modular groups and their Frattini subgroups, Funktsional. Anal, i Prilozhen., 21:2 (1978), 76-77.
    • (1978) Funktsional. Anal, i Prilozhen , vol.21 , Issue.2 , pp. 76-77
    • IVANOV, N.V.1
  • 20
    • 39549091445 scopus 로고    scopus 로고
    • N.V. IVANOV, Subgroups of Teichmüller Modular Groups, Translations of Mathematical Monographs 115 American Mathematical Society, Providence, RI, 1992, (Transl. from Russian by E.J.F. Primrose and revised by the author).
    • N.V. IVANOV, Subgroups of Teichmüller Modular Groups, Translations of Mathematical Monographs 115 American Mathematical Society, Providence, RI, 1992, (Transl. from Russian by E.J.F. Primrose and revised by the author).
  • 21
    • 0033240657 scopus 로고    scopus 로고
    • Howson property and one-relator groups
    • I. KAPOVICH, Howson property and one-relator groups, Comm. Algebra, 27:3 (1999), 1057-1072.
    • (1999) Comm. Algebra , vol.27 , Issue.3 , pp. 1057-1072
    • KAPOVICH, I.1
  • 22
    • 0037266869 scopus 로고    scopus 로고
    • The Frattini subgroup for subgroups of hyperbolic groups
    • I. KAPOVICH, The Frattini subgroup for subgroups of hyperbolic groups, J. Group Theory 6:1 (2003), 115-126.
    • (2003) J. Group Theory , vol.6 , Issue.1 , pp. 115-126
    • KAPOVICH, I.1
  • 23
    • 39549116875 scopus 로고    scopus 로고
    • n(Z), Uspekhi Mat. Nauk 34:4(208) (1979), 203-204.
    • n(Z), Uspekhi Mat. Nauk 34:4(208) (1979), 203-204.
  • 24
    • 0001996109 scopus 로고
    • Maximal subgroups of infinite index in finitely generated linear groups
    • G.A. MARGULIS, G.A. SOǏFER, Maximal subgroups of infinite index in finitely generated linear groups, J. Algebra 69:1 (1981), 1-23.
    • (1981) J. Algebra , vol.69 , Issue.1 , pp. 1-23
    • MARGULIS, G.A.1    SOǏFER, G.A.2
  • 25
    • 77957176140 scopus 로고    scopus 로고
    • A permutation representation of a free group
    • T.P. MCDONOUGH, A permutation representation of a free group, Quart. J. Math. Oxford Ser. (2) 28:111 (1997), 353-356.
    • (1997) Quart. J. Math. Oxford Ser. (2) , vol.28 , Issue.111 , pp. 353-356
    • MCDONOUGH, T.P.1
  • 26
    • 27944502832 scopus 로고    scopus 로고
    • On residualizing homomorphisms preserving quasiconvexity
    • A. MINASYAN, On residualizing homomorphisms preserving quasiconvexity, Comm. Algebra 33:7 (2005), 2423-2463.
    • (2005) Comm. Algebra , vol.33 , Issue.7 , pp. 2423-2463
    • MINASYAN, A.1
  • 27
    • 0000042348 scopus 로고
    • Groups covered by finitely many cosets
    • 1955
    • B.H. NEUMANN, Groups covered by finitely many cosets, Publ. Math. Debrecen 3 (1954), 227-242 (1955).
    • (1954) Publ. Math. Debrecen , vol.3 , pp. 227-242
    • NEUMANN, B.H.1
  • 28
    • 39549083176 scopus 로고    scopus 로고
    • E.L. PERVOVA, Everywhere dense subgroups of a group of tree automorphisms. Tr. Mat. Inst. Steklova 231(Din. Sist., Avtom. 1Beskon. Gruppy) (2000), 356-367.
    • E.L. PERVOVA, Everywhere dense subgroups of a group of tree automorphisms. Tr. Mat. Inst. Steklova 231(Din. Sist., Avtom. 1Beskon. Gruppy) (2000), 356-367.
  • 29
    • 0002065939 scopus 로고
    • Frattini subgroup of linear groups and finitary approximability
    • V.P. PLATONOV, Frattini subgroup of linear groups and finitary approximability, Dokl. Akad. Nauk SSSR 171 (1966), 798-801.
    • (1966) Dokl. Akad. Nauk SSSR , vol.171 , pp. 798-801
    • PLATONOV, V.P.1
  • 30
    • 84962994087 scopus 로고    scopus 로고
    • CE. PRAEGER, An O'Nan-Scott theorem for finite quasiprimitive permutation groups and an application to 2-arc transitive graphs, J. London Math. Soc. (2), 47:2 (1993), 227-239.
    • CE. PRAEGER, An O'Nan-Scott theorem for finite quasiprimitive permutation groups and an application to 2-arc transitive graphs, J. London Math. Soc. (2), 47:2 (1993), 227-239.
  • 31
    • 33646981964 scopus 로고
    • Subgroups of small cancellation groups
    • E. RIPS, Subgroups of small cancellation groups, Bull. London Math. Soc. 14:1 (1982), 45-47.
    • (1982) Bull. London Math. Soc , vol.14 , Issue.1 , pp. 45-47
    • RIPS, E.1
  • 32
    • 0003357759 scopus 로고
    • A Course in the Theory of Groups
    • 2nd ed. Springer
    • D.J.S. ROBINSON, A Course in the Theory of Groups. 2nd ed. Springer Graduate Texts in Mathematics 80 (1995).
    • (1995) Graduate Texts in Mathematics , vol.80
    • ROBINSON, D.J.S.1
  • 33
    • 84959755345 scopus 로고
    • Subgroups of surface groups are almost geometric
    • P. SCOTT, Subgroups of surface groups are almost geometric, J. London Math. Soc. (2) 17:3 (1978), 555-565.
    • (1978) J. London Math. Soc. (2) , vol.17 , Issue.3 , pp. 555-565
    • SCOTT, P.1
  • 34
    • 39549088836 scopus 로고    scopus 로고
    • J.-P. SERRE, Trees, Springer-Verlag, Berlin, 1980 (transi, from French by J. Stillwell).
    • J.-P. SERRE, Trees, Springer-Verlag, Berlin, 1980 (transi, from French by J. Stillwell).
  • 35
    • 0000644892 scopus 로고
    • Free subgroups in linear groups
    • J. TITS, Free subgroups in linear groups, J. Algebra 20 (1972), 250-270.
    • (1972) J. Algebra , vol.20 , pp. 250-270
    • TITS, J.1
  • 36
    • 0000405796 scopus 로고
    • Convergence groups and Gromov's metric hyperbolic spaces
    • P. TUKIA, Convergence groups and Gromov's metric hyperbolic spaces, New Zealand J. Math 23 (1994), 157-187.
    • (1994) New Zealand J. Math , vol.23 , pp. 157-187
    • TUKIA, P.1
  • 37
    • 0003376803 scopus 로고    scopus 로고
    • Conical limit points and uniform convergence groups
    • P. TUKIA, Conical limit points and uniform convergence groups, J. reine angew. Math. 501 (1998), 71-98.
    • (1998) J. reine angew. Math , vol.501 , pp. 71-98
    • TUKIA, P.1
  • 38
    • 84963011992 scopus 로고
    • Frattini subgroups in finitely generated linear groups
    • B.A.F. WEHRFRITZ, Frattini subgroups in finitely generated linear groups, J. London Math. Soc. 43 (1968), 619-622.
    • (1968) J. London Math. Soc , vol.43 , pp. 619-622
    • WEHRFRITZ, B.A.F.1
  • 39
    • 84971179392 scopus 로고
    • On characteristically simple groups
    • J.S. WILSON, On characteristically simple groups, Math. Proc. Cambridge Philos. Soc. 80:1 (1976), 19-35.
    • (1976) Math. Proc. Cambridge Philos. Soc , vol.80 , Issue.1 , pp. 19-35
    • WILSON, J.S.1
  • 40
    • 1042302435 scopus 로고    scopus 로고
    • A topological characterisation of relatively hyperbolic groups
    • A. YAMAN, A topological characterisation of relatively hyperbolic groups, J. reine angew. Math. 566 (2004), 41-89.
    • (2004) J. reine angew. Math , vol.566 , pp. 41-89
    • YAMAN, A.1


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