메뉴 건너뛰기




Volumn 268, Issue 1, 2003, Pages 264-285

Residual properties of the modular group and other free products

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0141592296     PISSN: 00218693     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0021-8693(03)00374-0     Document Type: Article
Times cited : (11)

References (30)
  • 1
    • 84972534370 scopus 로고
    • Involutions in Chevalley groups over fields of even order
    • M. Aschbacher, G.M. Seitz, Involutions in Chevalley groups over fields of even order, Nagoya Math. J. 63 (1976) 1-91.
    • (1976) Nagoya Math. J. , vol.63 , pp. 1-91
    • Aschbacher, M.1    Seitz, G.M.2
  • 2
    • 0003482171 scopus 로고
    • Simple Groups of Lie Type
    • Wiley-Interscience, New York
    • R.W. Carter, Simple Groups of Lie Type, Wiley-Interscience, New York, 1972.
    • (1972)
    • Carter, R.W.1
  • 4
    • 0037248840 scopus 로고    scopus 로고
    • Residual properties of free groups and probabilistic methods
    • J.D. Dixon, L. Pyber, Á. Seress, A. Shalev, Residual properties of free groups and probabilistic methods, J. Reine Angew. Math. 556 (2003) 159-172.
    • (2003) J. Reine Angew. Math. , vol.556 , pp. 159-172
    • Dixon, J.D.1    Pyber, L.2    Seress, Á.3    Shalev, A.4
  • 6
    • 0034670546 scopus 로고    scopus 로고
    • Probabilistic generation of finite simple groups
    • R. Guralnick, W.M. Kantor, Probabilistic generation of finite simple groups, J. Algebra 234 (2000) 743-792.
    • (2000) J. Algebra , vol.234 , pp. 743-792
    • Guralnick, R.1    Kantor, W.M.2
  • 8
    • 85031058782 scopus 로고    scopus 로고
    • Zero-one laws for finite Chevalley groups
    • in preparation
    • R. Guralnick, F. Lübeck, A. Shalev, Zero-one laws for finite Chevalley groups, in preparation.
    • Guralnick, R.1    Lübeck, F.2    Shalev, A.3
  • 9
    • 17444370826 scopus 로고    scopus 로고
    • The first order theory of the Frobenius automorphisms
    • in preparation
    • E. Hrushovski, The first order theory of the Frobenius automorphisms, in preparation.
    • Hrushovski, E.1
  • 10
    • 84981750909 scopus 로고
    • Residual properties of free groups
    • R. Katz, W. Magnus, Residual properties of free groups, Comm. Pure Appl. Math. 22 (1969) 1-13.
    • (1969) Comm., Pure Appl. Math. , vol.22 , pp. 1-13
    • Katz, R.1    Magnus, W.2
  • 11
    • 21844495734 scopus 로고
    • Jordan block sizes of unipotent elements in exceptional algebraic groups
    • R. Lawther, Jordan block sizes of unipotent elements in exceptional algebraic groups, Comm. Algebra 23 (1995) 4125-4156.
    • (1995) Comm. Algebra , vol.23 , pp. 4125-4156
    • Lawther, R.1
  • 12
    • 0033239399 scopus 로고    scopus 로고
    • On finite subgroups of exceptional algebraic groups
    • M.W. Liebeck, G.M. Seitz, On finite subgroups of exceptional algebraic groups, J. Reine Angew. Math. 515 (1999) 25-72.
    • (1999) J. Reine Angew. Math. , vol.515 , pp. 25-72
    • Liebeck, M.W.1    Seitz, G.M.2
  • 13
    • 0030505005 scopus 로고    scopus 로고
    • Classical groups, probabilistic methods, and the (2, 3)-generation problem
    • M.W. Liebeck, A. Shalev, Classical groups, probabilistic methods, and the (2, 3)-generation problem, Ann. of Math. 144 (1996) 77-125.
    • (1996) Ann. of Math. , vol.144 , pp. 77-125
    • Liebeck, M.W.1    Shalev, A.2
  • 14
    • 0030586644 scopus 로고    scopus 로고
    • Simple groups, probabilistic methods, and a conjecture of Kantor and Lubotzky
    • M.W. Liebeck, A. Shalev, Simple groups, probabilistic methods, and a conjecture of Kantor and Lubotzky, J. Algebra 184 (1996) 31-57.
    • (1996) J. Algebra , vol.184 , pp. 31-57
    • Liebeck, M.W.1    Shalev, A.2
  • 15
    • 0036510662 scopus 로고    scopus 로고
    • Random (r, s)-generation of finite classical groups
    • M.W. Liebeck, A. Shalev, Random (r, s)-generation of finite classical groups, Bull. London Math. Soc. 34 (2002) 185-188.
    • (2002) Bull. London Math. Soc. , vol.34 , pp. 185-188
    • Liebeck, M.W.1    Shalev, A.2
  • 16
    • 0041465182 scopus 로고
    • On a problem of Magnus
    • A. Lubotzky, On a problem of Magnus, Proc. Amer. Math. Soc. 98 (1986) 583-585.
    • (1986) Proc. Amer. Math. Soc. , vol.98 , pp. 583-585
    • Lubotzky, A.1
  • 17
    • 0004169958 scopus 로고
    • Combinatorial Group Theory
    • Springer, Berlin
    • R.C. Lyndon, P.E. Schupp, Combinatorial Group Theory, Springer, Berlin, 1977.
    • (1977)
    • Lyndon, R.C.1    Schupp, P.E.2
  • 20
    • 0002532766 scopus 로고
    • Maximal subgroups of exceptional algebraic groups
    • G.M. Seitz, Maximal subgroups of exceptional algebraic groups, Mem. Amer. Math. Soc. 90 (1991), No. 441.
    • (1991) Mem. Amer. Math. Soc. , vol.90 , Issue.441
    • Seitz, G.M.1
  • 21
    • 0004211763 scopus 로고
    • Trees
    • Springer, Berlin
    • J.-P. Serre, Trees, Springer, Berlin, 1980.
    • (1980)
    • Serre, J.-P.1
  • 22
    • 0001371661 scopus 로고
    • 4) over finite fields of characteristic 2
    • 4) over finite fields of characteristic 2, J. Fac. Sci. Univ. Tokyo 21 (1974) 133-159.
    • (1974) J. Fac. Sci. Univ. Tokyo , vol.21 , pp. 133-159
    • Shinoda, K.1
  • 23
    • 0001371663 scopus 로고
    • 4) over finite fields of characteristic p ≠ 2
    • 4) over finite fields of characteristic p ≠ 2, J. Fac. Sci. Univ. Tokyo 21 (1974) 1-17.
    • (1974) J. Fac. Sci. Univ. Tokyo , vol.21 , pp. 1-17
    • Shoji, T.1
  • 24
    • 0001285933 scopus 로고
    • Conjugacy classes
    • A. Borel et al. (Eds.), Seminar on Algebraic Groups and Related Finite Groups Springer
    • T.A. Springer, R. Steinberg, Conjugacy classes, in: A. Borel et al. (Eds.), Seminar on Algebraic Groups and Related Finite Groups, Lecture Notes in Math., Vol. 131, Springer, 1986, pp. 168-266.
    • (1986) Lecture Notes in Math. , vol.131 , pp. 168-266
    • Springer, T.A.1    Steinberg, R.2
  • 25
    • 0039616392 scopus 로고
    • A residual property of free products
    • M.C. Tamburini, J.S. Wilson, A residual property of free products, Math. Z. 186 (1984) 525-530.
    • (1984) Math. Z. , vol.186 , pp. 525-530
    • Tamburini, M.C.1    Wilson, J.S.2
  • 26
    • 0011076652 scopus 로고
    • Residual properties of free groups
    • T.S. Weigel, Residual properties of free groups, J. Algebra 160 (1993) 16-41.
    • (1993) J. Algebra , vol.160 , pp. 16-41
    • Weigel, T.S.1
  • 27
    • 0011112036 scopus 로고
    • Residual properties of free groups II
    • T.S. Weigel, Residual properties of free groups II, Comm. Algebra 20 (1992) 1395-1425.
    • (1992) Comm. Algebra , vol.20 , pp. 1395-1425
    • Weigel, T.S.1
  • 28
    • 51249170291 scopus 로고
    • Residual properties of free groups III
    • T.S. Weigel, Residual properties of free groups III, Israel J. Math. 77 (1992) 65-81.
    • (1992) Israel J. Math. , vol.77 , pp. 65-81
    • Weigel, T.S.1
  • 29
    • 0042466867 scopus 로고
    • Free groups are residually alternating of even degree
    • J. Wiegold, Free groups are residually alternating of even degree, Arch. Math. (Basel) 28 (1977) 337-339.
    • (1977) Arch. Math. (Basel) , vol.28 , pp. 337-339
    • Wiegold, J.1
  • 30
    • 0042466865 scopus 로고
    • A residual property of free groups
    • J.S. Wilson, A residual property of free groups, J. Algebra 138 (1991) 36-47.
    • (1991) J. Algebra , vol.138 , pp. 36-47
    • Wilson, J.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.