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Volumn 165, Issue 1, 2007, Pages 171-238

On finitely generated profinite groups, I: Strong completeness and uniform bounds

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EID: 34247876121     PISSN: 0003486X     EISSN: None     Source Type: Journal    
DOI: 10.4007/annals.2007.165.171     Document Type: Article
Times cited : (193)

References (28)
  • 2
    • 0001667058 scopus 로고
    • On the orders of primitive groups with restricted nonabelian composition factors
    • [BCP] L. BABAI, P. J. CAMERON, and P. P. PÁLFY, On the orders of primitive groups with restricted nonabelian composition factors, J. Algebra 79 (1982), 161-168.
    • (1982) J. Algebra , vol.79 , pp. 161-168
    • BABAI, L.1    CAMERON, P.J.2    PÁLFY, P.P.3
  • 4
    • 0010531184 scopus 로고    scopus 로고
    • Bases for primitive permutation groups and a conjecture of Babai
    • [GSS] D. GLUCK, A. Seress and A. Shalev, Bases for primitive permutation groups and a conjecture of Babai, J. Algebra 199 (1998), 367-378.
    • (1998) J. Algebra , vol.199 , pp. 367-378
    • GLUCK, D.1    Seress, A.2    Shalev, A.3
  • 7
    • 0000927730 scopus 로고
    • An application of connectivity theory in graphs to factorization of elements in groups
    • [Hm] Y. O. HAMIDOUNE, An application of connectivity theory in graphs to factorization of elements in groups, European J. Combin. 2 (1981), 349-355.
    • (1981) European J. Combin , vol.2 , pp. 349-355
    • HAMIDOUNE, Y.O.1
  • 8
    • 34247852711 scopus 로고
    • Enumerating perfect groups
    • [Ho] D. F. HOLT, Enumerating perfect groups, J. London Math. Soc. 39 (1989), 67-78.
    • (1989) J. London Math. Soc , vol.39 , pp. 67-78
    • HOLT, D.F.1
  • 9
    • 0001795648 scopus 로고
    • Subgroups of finite index in profmite groups
    • [Hr] B. HARTLEY, Subgroups of finite index in profmite groups, Math. Zeit. 168 (1979), 71-76.
    • (1979) Math. Zeit , vol.168 , pp. 71-76
    • HARTLEY, B.1
  • 11
    • 0043241136 scopus 로고    scopus 로고
    • Finite linear groups and bounded generation
    • [LP] M. W. LIEBECK and L. PYBER, Finite linear groups and bounded generation, Duke Math. J. 107 (2001), 159-171.
    • (2001) Duke Math. J , vol.107 , pp. 159-171
    • LIEBECK, M.W.1    PYBER, L.2
  • 12
    • 0033472663 scopus 로고    scopus 로고
    • Simple groups, permutation groups, and probability
    • LS1
    • [LS1] M. W. LIEBECK and A. SHALEV, Simple groups, permutation groups, and probability, J. Amer. Math. Soc. 12 (1999), 497-520.
    • (1999) J. Amer. Math. Soc , vol.12 , pp. 497-520
    • LIEBECK, M.W.1    SHALEV, A.2
  • 13
    • 0035540759 scopus 로고    scopus 로고
    • LS2] _, Diameters of finite simple groups: sharp bounds and applications
    • [LS2] _, Diameters of finite simple groups: sharp bounds and applications, Ann. of Math. 154 (2001), 383-406.
    • (2001) Ann. of Math , vol.154 , pp. 383-406
  • 14
    • 0012670499 scopus 로고    scopus 로고
    • A. MANN and A. SHALEV, Simple groups, maximal subgroups and probabilistic aspects of profinite groups, Israel J. Math.96 (1996), 449-468.
    • [MS] A. MANN and A. SHALEV, Simple groups, maximal subgroups and probabilistic aspects of profinite groups, Israel J. Math.96 (1996), 449-468.
  • 15
    • 0007508494 scopus 로고    scopus 로고
    • Products of powers in finite simple groups
    • [MZ] C. MARTINEZ and E. ZELMANOV, Products of powers in finite simple groups, Israel J. Math.96 (1996), 469-479.
    • (1996) Israel J. Math , vol.96 , pp. 469-479
    • MARTINEZ, C.1    ZELMANOV, E.2
  • 16
    • 34247886908 scopus 로고    scopus 로고
    • Power subgroups of profinite groups
    • N1, University of Oxford
    • [N1] N. NIKOLOV, Power subgroups of profinite groups, D. Phil. Thesis, University of Oxford, 2002.
    • (2002) D. Phil. Thesis
    • NIKOLOV, N.1
  • 17
    • 1442279297 scopus 로고    scopus 로고
    • N2] _, On the commutator width of perfect groups
    • [N2] _, On the commutator width of perfect groups, Bull. London Math. Soc. 36 (2004), 30-36.
    • (2004) Bull. London Math. Soc , vol.36 , pp. 30-36
  • 18
    • 34247874692 scopus 로고    scopus 로고
    • N. NIKOLOV and D. SEGAL, On finitely generated profinite groups, II: products in quasisimple groups, Ann. of Math. 165 (2007), 239-273.
    • [NS] N. NIKOLOV and D. SEGAL, On finitely generated profinite groups, II: products in quasisimple groups, Ann. of Math. 165 (2007), 239-273.
  • 20
    • 0010203902 scopus 로고
    • Width of verbal subgroups in solvable groups
    • Russian
    • [R] V. A. ROMANKOV, Width of verbal subgroups in solvable groups, Algebra i Logika 21 (1982), 60-72 (Russian);
    • (1982) Algebra i Logika , vol.21 , pp. 60-72
    • ROMANKOV, V.A.1
  • 21
    • 85039221335 scopus 로고    scopus 로고
    • Algebra and Logic 21 (1982), 41-49 (English).
    • Algebra and Logic 21 (1982), 41-49 (English).
  • 23
    • 0002804066 scopus 로고    scopus 로고
    • Closed subgroups of profinite groups
    • [Sg] D. SEGAL, Closed subgroups of profinite groups, Proc. London Math. Soc. 81 (2000), 29-54.
    • (2000) Proc. London Math. Soc , vol.81 , pp. 29-54
    • SEGAL, D.1
  • 25
    • 0010660263 scopus 로고
    • On simple pseudofinite groups
    • [W] J. S WILSON, On simple pseudofinite groups, J. London Math. Soc. 51 (1995), 471-490.
    • (1995) J. London Math. Soc , vol.51 , pp. 471-490
    • WILSON, J.S.1
  • 26
    • 0001959952 scopus 로고
    • Solution of the restricted Burnside problem for groups of odd exponent
    • [Z] E. I. ZELMANOV, Solution of the restricted Burnside problem for groups of odd exponent, Izv. Akad. Nauk. USSR 54 (1990), 42-59;
    • (1990) Izv. Akad. Nauk. USSR , vol.54 , pp. 42-59
    • ZELMANOV, E.I.1
  • 27
    • 85039205706 scopus 로고    scopus 로고
    • Solution of the restricted Burnside problem for 2-groups, Mat. 56.182 (1991), 568-592 (Russian);
    • Solution of the restricted Burnside problem for 2-groups, Mat. 56.182 (1991), 568-592 (Russian);
  • 28
    • 85039235156 scopus 로고    scopus 로고
    • Math. USSR-Sb. 72 (1992), 543-565 (English).
    • Math. USSR-Sb. 72 (1992), 543-565 (English).


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.