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Volumn 72, Issue 2, 1996, Pages 425-457

Simple subgroups of large rank in groups of Lie type

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EID: 0000552697     PISSN: 00246115     EISSN: None     Source Type: Journal    
DOI: 10.1112/plms/s3-72.2.425     Document Type: Article
Times cited : (30)

References (38)
  • 3
    • 84972534370 scopus 로고
    • Involutions in Chevalley groups over fields of even order
    • M. ASCHBACHER and 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
  • 4
    • 84963478976 scopus 로고
    • On the structure of parabolic subgroups
    • H. AZAD, M. BARRY, and G. M. SEITZ, 'On the structure of parabolic subgroups', Comm. Algebra 18 (1990) 551-562.
    • (1990) Comm. Algebra , vol.18 , pp. 551-562
    • Azad, H.1    Barry, M.2    Seitz, G.M.3
  • 5
    • 84971162121 scopus 로고
    • Classes of unipotent elements in simple algebraic groups II
    • P. BALA and R. W. CARTER, 'Classes of unipotent elements in simple algebraic groups II', Math. Proc. Cambridge Philos. Soc. 80 (1976) 1-17.
    • (1976) Math. Proc. Cambridge Philos. Soc. , vol.80 , pp. 1-17
    • Bala, P.1    Carter, R.W.2
  • 6
    • 51249195516 scopus 로고
    • Les sous-groupes fermés de rang maximum des groupes de Lie clos
    • A. BOREL and J. DE SEINBENTHAL, 'Les sous-groupes fermés de rang maximum des groupes de Lie clos', Comment. Math. Helv. 23 (1949) 200-221.
    • (1949) Comment. Math. Helv. , vol.23 , pp. 200-221
    • Borel, A.1    De Seinbenthal, J.2
  • 7
    • 34250453037 scopus 로고
    • Éléments unipotents et sousgroupes paraboliques de groupes réductifs
    • A. BOREL and J. TITS, 'Éléments unipotents et sousgroupes paraboliques de groupes réductifs', Invent. Math. 12 (1971) 95-104.
    • (1971) Invent. Math. , vol.12 , pp. 95-104
    • Borel, A.1    Tits, J.2
  • 9
    • 4243413685 scopus 로고
    • A criterion for complete reducibility and some applications
    • M. CABANES, 'A criterion for complete reducibility and some applications', Astérisque (1993) 181-187.
    • (1993) Astérisque , pp. 181-187
    • Cabanes, M.1
  • 10
    • 0001216624 scopus 로고
    • Centralizers of semisimple elements in finite groups of Lie type
    • R. W. CARTER, 'Centralizers of semisimple elements in finite groups of Lie type', Proc. London. Math. Soc. (3) 37 (1978) 491-507.
    • (1978) Proc. London. Math. Soc. , vol.37 , Issue.3 , pp. 491-507
    • Carter, R.W.1
  • 13
    • 84963036585 scopus 로고
    • The local maximal subgroups of exceptional groups of Lie type, finite and algebraic
    • A. M. COHEN, M. W. LIEBECK, J. SAXL, and G. M. SEITZ, 'The local maximal subgroups of exceptional groups of Lie type, finite and algebraic', Proc. London. Math. Soc. (3) 64 (1992) 21-48.
    • (1992) Proc. London. Math. Soc. , vol.64 , Issue.3 , pp. 21-48
    • Cohen, A.M.1    Liebeck, M.W.2    Saxl, J.3    Seitz, G.M.4
  • 14
    • 0002044413 scopus 로고
    • Centralizers of semisimple elements in finite twisted groups of Lie type
    • D. DERIZIOTIS and M. W. LIEBECK, 'Centralizers of semisimple elements in finite twisted groups of Lie type', J. London Math. Soc. (2) 31 (1985) 48-54.
    • (1985) J. London Math. Soc. , vol.31 , Issue.2 , pp. 48-54
    • Deriziotis, D.1    Liebeck, M.W.2
  • 15
    • 0000039738 scopus 로고
    • The local structure of finite groups of characteristic 2 type
    • D. GORENSTEIN and R. LYONS, 'The local structure of finite groups of characteristic 2 type', Mem. Amer. Math. Soc. 276 (1983).
    • (1983) Mem. Amer. Math. Soc. , vol.276
    • Gorenstein, D.1    Lyons, R.2
  • 16
    • 0001729898 scopus 로고
    • Centralizers of involutions in finite Chevalley groups
    • Seminar on algebraic groups and related finite groups (eds A. Borel et al.), Springer, Berlin
    • N. IWAHORI, 'Centralizers of involutions in finite Chevalley groups', Seminar on algebraic groups and related finite groups (eds A. Borel et al.), Lecture Notes in Mathematics 131 (Springer, Berlin, 1970), pp. 267-295.
    • (1970) Lecture Notes in Mathematics , vol.131 , pp. 267-295
    • Iwahori, N.1
  • 18
    • 0002163296 scopus 로고
    • On the 1-cohomology of finite groups of Lie type
    • eds W. Scott and F. Gross, Academic Press, New York
    • W. JONES and B. PARSHALL, 'On the 1-cohomology of finite groups of Lie type', Proceedings of a Conference on Finite Groups (eds W. Scott and F. Gross, Academic Press, New York, 1976).
    • (1976) Proceedings of a Conference on Finite Groups
    • Jones, W.1    Parshall, B.2
  • 19
    • 21344498144 scopus 로고
    • Cohomology of finite Chevalley groups with coefficients in modules with 1-dimensional weight spaces
    • A. S. KLESHCHEV, 'Cohomology of finite Chevalley groups with coefficients in modules with 1-dimensional weight spaces', Comm. Algebra 22 (1994) 1197-1218.
    • (1994) Comm. Algebra , vol.22 , pp. 1197-1218
    • Kleshchev, A.S.1
  • 20
    • 85027217182 scopus 로고    scopus 로고
    • Jordan block sizes of unipotent elements in exceptional algebraic groups
    • to appear
    • R. LAWTHER, 'Jordan block sizes of unipotent elements in exceptional algebraic groups', Comm. Algebra, to appear.
    • Comm. Algebra
    • Lawther, R.1
  • 21
    • 84960613236 scopus 로고
    • The affine permutation groups of rank three
    • M. W. LIEBECK, 'The affine permutation groups of rank three', Proc. London Math. Soc. (3) 54 (1987) 477-516.
    • (1987) Proc. London Math. Soc. , vol.54 , Issue.3 , pp. 477-516
    • Liebeck, M.W.1
  • 22
    • 84960609269 scopus 로고
    • On the orders of maximal subgroups of the finite exceptional groups of Lie type
    • M. W. LIEBECK and J. SAXL, 'On the orders of maximal subgroups of the finite exceptional groups of Lie type', Proc. London Math. Soc. (3) 55 (1987) 299-330.
    • (1987) Proc. London Math. Soc. , vol.55 , Issue.3 , pp. 299-330
    • Liebeck, M.W.1    Saxl, J.2
  • 23
    • 84963017635 scopus 로고
    • Subgroups of maximal rank in finite exceptional groups of Lie type
    • M. W. LIEBECK, J. SAXL, and G. M. SEITZ, 'Subgroups of maximal rank in finite exceptional groups of Lie type', Proc. London Math. Soc. (3) 65 (1992) 297-325.
    • (1992) Proc. London Math. Soc. , vol.65 , Issue.3 , pp. 297-325
    • Liebeck, M.W.1    Saxl, J.2    Seitz, G.M.3
  • 24
    • 0001454369 scopus 로고
    • Maximal subgroups of exceptional groups of Lie type, finite and algebraic
    • M. W. LIEBECK and G. M. SEITZ, 'Maximal subgroups of exceptional groups of Lie type, finite and algebraic', Geom. Dedicata 36 (1990) 353-387.
    • (1990) Geom. Dedicata , vol.36 , pp. 353-387
    • Liebeck, M.W.1    Seitz, G.M.2
  • 25
    • 0000894957 scopus 로고
    • Subgroups generated by root elements in groups of Lie type
    • M. W. LIEBECK and G. M. SEITZ, 'Subgroups generated by root elements in groups of Lie type', Ann. of Math. 139 (1994) 293-361.
    • (1994) Ann. of Math. , vol.139 , pp. 293-361
    • Liebeck, M.W.1    Seitz, G.M.2
  • 26
    • 85087247330 scopus 로고    scopus 로고
    • Reductive subgroups of exceptional algebraic groups
    • to appear
    • M. W. LIEBECK and G. M. SEITZ, 'Reductive subgroups of exceptional algebraic groups', Mem. Amer. Math. Soc. to appear.
    • Mem. Amer. Math. Soc.
    • Liebeck, M.W.1    Seitz, G.M.2
  • 29
    • 0009996781 scopus 로고
    • Generation of finite groups of Lie type
    • G. M. SEITZ, 'Generation of finite groups of Lie type', Trans. Amer. Math. Soc. 271 (1982) 351-407.
    • (1982) Trans. Amer. Math. Soc. , vol.271 , pp. 351-407
    • Seitz, G.M.1
  • 30
    • 0003275047 scopus 로고
    • Maximal subgroups of exceptional algebraic groups
    • G. M. SEITZ, 'Maximal subgroups of exceptional algebraic groups', Mem. Amer. Math. Soc. 365 (1987).
    • (1987) Mem. Amer. Math. Soc. , vol.365
    • Seitz, G.M.1
  • 31
    • 0002532766 scopus 로고
    • Maximal subgroups of exceptional algebraic groups
    • G. M. SEITZ, 'Maximal subgroups of exceptional algebraic groups', Mem. Amer. Math. Soc. 441 (1991).
    • (1991) Mem. Amer. Math. Soc. , vol.441
    • Seitz, G.M.1
  • 32
    • 38249017687 scopus 로고
    • Extending morphisms from finite to algebraic groups
    • G. M. SEITZ and D. M. TESTERMAN, 'Extending morphisms from finite to algebraic groups', J. Algebra 131 (1990) 559-574.
    • (1990) J. Algebra , vol.131 , pp. 559-574
    • Seitz, G.M.1    Testerman, D.M.2
  • 33
    • 0001669848 scopus 로고
    • Sur la semi-simplicité des produits tensoriels de représentations de groupes
    • J.-P. SERRE, 'Sur la semi-simplicité des produits tensoriels de représentations de groupes', Invent. Math. 116 (1994) 513-530.
    • (1994) Invent. Math. , vol.116 , pp. 513-530
    • Serre, J.-P.1
  • 36
    • 0004253271 scopus 로고
    • notes by J. Faulkner and R. Wilson, Yale University
    • R. STEINBERG, Lectures on Chevalley groups, notes by J. Faulkner and R. Wilson, Yale University, 1968.
    • (1968) Lectures on Chevalley Groups
    • Steinberg, R.1
  • 37
    • 0003296019 scopus 로고
    • Irreducible subgroups of exceptional algebraic groups
    • D. M. TESTERMAN, 'Irreducible subgroups of exceptional algebraic groups', Mem. Amer. Math. Soc. 390 (1988).
    • (1988) Mem. Amer. Math. Soc. , vol.390
    • Testerman, D.M.1


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