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Volumn 326, Issue 1, 2011, Pages 201-207

Groups of Lie type as products of SL2 subgroups

Author keywords

Expander graphs; Finite simple groups; Subgroup width

Indexed keywords


EID: 78649459885     PISSN: 00218693     EISSN: 1090266X     Source Type: Journal    
DOI: 10.1016/j.jalgebra.2008.12.030     Document Type: Article
Times cited : (17)

References (14)
  • 1
    • 0002245914 scopus 로고
    • Products of Conjugacy Classes in Groups
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    • (1985) Springer Lecture Notes , vol.1112
  • 2
    • 78649469664 scopus 로고    scopus 로고
    • Expansion and product decompositions in finite groups: Variations on a theme of Gowers, preprint.
    • L. Babai, N. Nikolov, L. Pyber, Expansion and product decompositions in finite groups: Variations on a theme of Gowers, preprint.
    • Babai, L.1    Nikolov, N.2    Pyber, L.3
  • 4
    • 0003256564 scopus 로고    scopus 로고
    • The Classification of Finite Simple Groups
    • American Mathematical Society, Providence, RI
    • Gorenstein D., Lyons R., Solomon R. The Classification of Finite Simple Groups. Math. Surveys Monogr. 1998, vol. 40.3. American Mathematical Society, Providence, RI.
    • (1998) Math. Surveys Monogr. , vol.3-40
    • Gorenstein, D.1    Lyons, R.2    Solomon, R.3
  • 7
    • 0001704592 scopus 로고
    • On the minimal degrees of projective representations of the finite Chevalley groups
    • Landazuri V., Seitz G. On the minimal degrees of projective representations of the finite Chevalley groups. J. Algebra 1974, 32:418-443.
    • (1974) J. Algebra , vol.32 , pp. 418-443
    • Landazuri, V.1    Seitz, G.2
  • 8
    • 0043241136 scopus 로고    scopus 로고
    • Finite linear groups and bounded generation
    • Liebeck M.W., Pyber L. Finite linear groups and bounded generation. Duke Math. J. 2001, 107:159-171.
    • (2001) Duke Math. J. , vol.107 , pp. 159-171
    • Liebeck, M.W.1    Pyber, L.2
  • 9
    • 78649461599 scopus 로고    scopus 로고
    • Simple groups of Lie type as expanders, in preparation.
    • A. Lubotzky, Simple groups of Lie type as expanders, in preparation.
    • Lubotzky, A.1
  • 10
    • 33846960778 scopus 로고    scopus 로고
    • A product decomposition for the classical quasisimple groups
    • Nikolov N. A product decomposition for the classical quasisimple groups. J. Group Theory 2007, 10:43-53.
    • (2007) J. Group Theory , vol.10 , pp. 43-53
    • Nikolov, N.1
  • 11
    • 78649452751 scopus 로고    scopus 로고
    • Covering and generating number for groups, PhD thesis, University of Cambridge
    • D.M. Rodgers, Covering and generating number for groups, PhD thesis, University of Cambridge, 2001.
    • (2001)
    • Rodgers, D.M.1
  • 12
    • 78649488517 scopus 로고    scopus 로고
    • Word maps, conjugacy classes and a non-commutative Waring-type theorem, Ann. of Math., in press.
    • A. Shalev, Word maps, conjugacy classes and a non-commutative Waring-type theorem, Ann. of Math., in press.
    • Shalev, A.1
  • 13
    • 0000153799 scopus 로고
    • The character tables for SL(3,q), SU(3,q2), PSL(3,q), PSU(3,q2)
    • Simpson W.A., Frame J.S. The character tables for SL(3,q), SU(3,q2), PSL(3,q), PSU(3,q2). Canad. J. Math. 1973, 25:486-494.
    • (1973) Canad. J. Math. , vol.25 , pp. 486-494
    • Simpson, W.A.1    Frame, J.S.2
  • 14
    • 84909469530 scopus 로고
    • On Ree's series of simple groups
    • Ward H.N. On Ree's series of simple groups. Trans. Amer. Math. Soc. 1966, 121:62-89.
    • (1966) Trans. Amer. Math. Soc. , vol.121 , pp. 62-89
    • Ward, H.N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.