메뉴 건너뛰기




Volumn 13, Issue 4, 2003, Pages 401-413

Bounded generation and linear groups

Author keywords

Bounded generation; Profinite groups; Representation theory of infinite groups

Indexed keywords


EID: 0348199251     PISSN: 02181967     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218196703001493     Document Type: Article
Times cited : (14)

References (34)
  • 1
    • 0038297265 scopus 로고    scopus 로고
    • Congruence subgroup growth of arithmetic groups in positive characteristic
    • M. Abért, N. Nikolov and B. Szegedy, Congruence subgroup growth of arithmetic groups in positive characteristic, Duke Math. J. 117(2) (2003), 367-383.
    • (2003) Duke Math. J. , vol.117 , Issue.2 , pp. 367-383
    • Abért, M.1    Nikolov, N.2    Szegedy, B.3
  • 2
    • 0002273445 scopus 로고
    • Groups of integral representation type
    • H. Bass, Groups of integral representation type, Pacific J. Math. 86 (1980), 15-51.
    • (1980) Pacific J. Math. , vol.86 , pp. 15-51
    • Bass, H.1
  • 4
    • 0034347520 scopus 로고    scopus 로고
    • Nonarithmetic superrigid groups: Counterexamples to Platonov's conjecture
    • H. Bass and A. Lubotzky, Nonarithmetic superrigid groups: Counterexamples to Platonov's conjecture, Ann. Math 151(2) (2000), 1151-1173.
    • (2000) Ann. Math , vol.151 , Issue.2 , pp. 1151-1173
    • Bass, H.1    Lubotzky, A.2
  • 7
    • 0347079465 scopus 로고
    • The number of irreducible representations of a finite linear group over an arbitrary field
    • in Russian
    • S. D. Berman, The number of irreducible representations of a finite linear group over an arbitrary field, Dokl. Akad. Nauk. SSSR (NS) 106 (1956), 767-769 (in Russian).
    • (1956) Dokl. Akad. Nauk. SSSR (NS) , vol.106 , pp. 767-769
    • Berman, S.D.1
  • 9
    • 38249028482 scopus 로고
    • On a question of M. Newman on the number of commutators
    • R. K. Dennis and L. N. Vaserstein, On a question of M. Newman on the number of commutators, J. Algebra 118 (1988), 150-161.
    • (1988) J. Algebra , vol.118 , pp. 150-161
    • Dennis, R.K.1    Vaserstein, L.N.2
  • 11
    • 0000927730 scopus 로고
    • An application of connectivity theory in graphs to factorizations of elements in groups
    • Y. O. Hamidoune, An application of connectivity theory in graphs to factorizations of elements in groups, Eur. J. Comb. 2 (1981), 349-355.
    • (1981) Eur. J. Comb. , vol.2 , pp. 349-355
    • Hamidoune, Y.O.1
  • 12
    • 84960613236 scopus 로고
    • The affine permutation groups of rank three
    • M. W. Liebeck, The affine permutation groups of rank three, Proc. London Math. Soc. 54(3) (1987), 477-516.
    • (1987) Proc. London Math. Soc. , vol.54 , Issue.3 , pp. 477-516
    • Liebeck, M.W.1
  • 13
    • 0043241136 scopus 로고    scopus 로고
    • Finite linear groups and bounded generation
    • M. W. Liebeck and L. Pyber, Finite linear groups and bounded generation, Duke Math. J. 107(1) (2001), 159-171.
    • (2001) Duke Math. J. , vol.107 , Issue.1 , pp. 159-171
    • Liebeck, M.W.1    Pyber, L.2
  • 14
    • 0000762915 scopus 로고
    • Subgroup growth and congruence subgroups
    • A. Lubotzky, Subgroup growth and congruence subgroups, Invent. Math. 119 (1995), 267-295.
    • (1995) Invent. Math. , vol.119 , pp. 267-295
    • Lubotzky, A.1
  • 15
    • 0001105661 scopus 로고
    • On groups of polynomial subgroup growth
    • A. Lubotzky and A. Mann, On groups of polynomial subgroup growth, Invent. Math. 104 (1991), 521-533.
    • (1991) Invent. Math. , vol.104 , pp. 521-533
    • Lubotzky, A.1    Mann, A.2
  • 16
    • 51249161525 scopus 로고
    • Finitely generated groups of polynomial subgroup growth
    • A. Lubotzky, A. Mann and D. Segal, Finitely generated groups of polynomial subgroup growth, Isr. J. Math. 82 (1993), 363-371.
    • (1993) Isr. J. Math. , vol.82 , pp. 363-371
    • Lubotzky, A.1    Mann, A.2    Segal, D.3
  • 18
    • 0000514291 scopus 로고
    • Uniform finiteness conditions in residually finite groups
    • A. Mann and D. Segal, Uniform finiteness conditions in residually finite groups, Proc. London Math. Soc. 61 (1990), 529-545.
    • (1990) Proc. London Math. Soc. , vol.61 , pp. 529-545
    • Mann, A.1    Segal, D.2
  • 19
    • 0007508494 scopus 로고    scopus 로고
    • Products of powers in finite simple groups
    • 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
  • 20
    • 0013480826 scopus 로고
    • Bounded and finite generation of arithmetic groups
    • V. K. Murty, Bounded and finite generation of arithmetic groups, Can. Math. Soc. Conf. Proc. 15 (1995), 249-261.
    • (1995) Can. Math. Soc. Conf. Proc. , vol.15 , pp. 249-261
    • Murty, V.K.1
  • 21
    • 0001670151 scopus 로고    scopus 로고
    • Compact subgroups of linear algebraic groups
    • R. Pink, Compact subgroups of linear algebraic groups, J. Algebra 206 (1998), 438-504.
    • (1998) J. Algebra , vol.206 , pp. 438-504
    • Pink, R.1
  • 22
    • 0012956253 scopus 로고    scopus 로고
    • Strong approximation for Zariski dense subgroups over arbitrary global fields
    • R. Pink, Strong approximation for Zariski dense subgroups over arbitrary global fields, Comment. Math. Helv. 75 (2000), 608-643.
    • (2000) Comment. Math. Helv. , vol.75 , pp. 608-643
    • Pink, R.1
  • 23
    • 0000776459 scopus 로고
    • Abstract properties of S-arithmetic subgroups and the congruence subgroup problem
    • V. Platonov and A. S. Rapinchuk, Abstract properties of S-arithmetic subgroups and the congruence subgroup problem, Izv. Roy. Acad. Sci. Ser. Math. 56 (1992), 483-508.
    • (1992) Izv. Roy. Acad. Sci. Ser. Math. , vol.56 , pp. 483-508
    • Platonov, V.1    Rapinchuk, A.S.2
  • 24
    • 0036352379 scopus 로고    scopus 로고
    • Bounded generation and subgroup growth
    • L. Pyber, Bounded generation and subgroup growth, Bull. London Math. Soc. 34(1) (2002), 55-60.
    • (2002) Bull. London Math. Soc. , vol.34 , Issue.1 , pp. 55-60
    • Pyber, L.1
  • 25
    • 0001318079 scopus 로고
    • Representations of groups with bounded generation
    • in Russian
    • A. S. Rapinchuk, Representations of groups with bounded generation, Dokl. Acad. Nauk. SSSR 315 (1990), 536-540 (in Russian).
    • (1990) Dokl. Acad. Nauk. SSSR , vol.315 , pp. 536-540
    • Rapinchuk, A.S.1
  • 26
    • 0032439060 scopus 로고    scopus 로고
    • On SS-rigid groups and A. Well's criterion for local rigidity I
    • A. S. Rapinchuk, On SS-rigid groups and A. Well's criterion for local rigidity I., Manuscripta Math. 97 (1998), 529-543.
    • (1998) Manuscripta Math. , vol.97 , pp. 529-543
    • Rapinchuk, A.S.1
  • 28
    • 0002804066 scopus 로고    scopus 로고
    • Closed subgroups of profinite groups
    • D. Segal, Closed subgroups of profinite groups, Proc. London Math. Soc. 81(3) (2000), 29-54.
    • (2000) Proc. London Math. Soc. , vol.81 , Issue.3 , pp. 29-54
    • Segal, D.1
  • 29
    • 0141582790 scopus 로고    scopus 로고
    • The finite images of finitely generated groups
    • D. Segal, The finite images of finitely generated groups, Proc. London Math. Soc. 82(3) (2001), 597-613.
    • (2001) Proc. London Math. Soc. , vol.82 , Issue.3 , pp. 597-613
    • Segal, D.1
  • 30
    • 84962991729 scopus 로고
    • Growth functions, p-adic analytic groups and groups of finite coclass
    • A. Shalev, Growth functions, p-adic analytic groups and groups of finite coclass, J. London Math. Soc. 46(2) (1992), 111-122.
    • (1992) J. London Math. Soc. , vol.46 , Issue.2 , pp. 111-122
    • Shalev, A.1
  • 31
    • 0038161057 scopus 로고    scopus 로고
    • Lie methods in the theory of pro-p groups
    • eds. M. du Sautoy, D. Segal and A. Shalev, Progress in Mathematics 184, Birkhäuser, Boston
    • A. Shalev, Lie methods in the theory of pro-p groups, in New horizons in pro-p groups, eds. M. du Sautoy, D. Segal and A. Shalev, Progress in Mathematics 184, Birkhäuser, Boston, 2000.
    • (2000) New Horizons in Pro-p Groups
    • Shalev, A.1
  • 32
    • 84957153665 scopus 로고
    • Bounded generation of Chevalley groups over rings of algebraic S-integers
    • O. I. Tavgen, Bounded generation of Chevalley groups over rings of algebraic S-integers, Math. USSR. Izv. 36 (1991), 101-128.
    • (1991) Math. USSR. Izv. , vol.36 , pp. 101-128
    • Tavgen, O.I.1
  • 33
    • 0000447570 scopus 로고
    • Strong approximation for Zariski-dense subgroups of semi-simple algebraic groups
    • B. Weisfeiler, Strong approximation for Zariski-dense subgroups of semi-simple algebraic groups, Ann. Math. 120 (1984), 270-315.
    • (1984) Ann. Math. , vol.120 , pp. 270-315
    • Weisfeiler, B.1
  • 34
    • 0010660263 scopus 로고
    • On simple pseudofinite groups
    • J. S. Wilson, On simple pseudofinite groups, J. London Math. Soc. 51(2) (1995), 471-490.
    • (1995) J. London Math. Soc. , vol.51 , Issue.2 , pp. 471-490
    • Wilson, J.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.