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Automorphisms which centralize a Sylow p-subgroup. (English) Zbl 0489.20019

MSC:
20D45 Automorphisms of abstract finite groups
20D20 Sylow subgroups, Sylow properties, \(\pi\)-groups, \(\pi\)-structure
20G40 Linear algebraic groups over finite fields
20D05 Finite simple groups and their classification
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[1] Aschbacher, M; Seitz, G, On groups with a standard component of known type, Osaka math. J., 13, 439-482, (1976) · Zbl 0374.20015
[2] Carter, R, Conjugacy classes in the Weyl group, (), 297-318
[3] Carter, R, Simple groups of Lie type, (1972), Wiley New York · Zbl 0248.20015
[4] Finkelstein, L, Finite groups with a standard component of type J4, Pacific J. math., 71, 41-56, (1977) · Zbl 0374.20016
[5] Gagen, T, Topics in finite groups, () · Zbl 0324.20013
[6] Glauberman, G, On the automorphism group of a finite group having no non-identity normal subgroup of odd order, Math. Z., 93, 154-160, (1966) · Zbl 0231.20004
[7] Griess, R; Lyons, R, The automorphism group of the Tits simple group ^2F4 (2)′, (), 75-78 · Zbl 0326.20010
[8] Hall, M, The theory of groups, (1959), Macmillan New York
[9] Hall, P; Higman, G, On the p-length of p-soluble groups and reduction theorems for Burnside’s problem, (), 1-42 · Zbl 0073.25503
[10] Scott, W, Group theory, (1964), Prentice-Hall Englewood Cliffs, N. J · Zbl 0126.04504
[11] Springer, T; Steinberg, R, Conjugacy classes, (), 167-266 · Zbl 0249.20024
[12] Steinberg, R, Endomorphisms of linear algebraic groups, Mem. amer. math. soc., 80, (1968) · Zbl 0164.02902
[13] Steinberg, R, Lectures on Chevalley groups, (1967), Yale University
[14] Weir, A, Sylow p-subgroups of the classical groups over finite fields with characteristic prime to p, (), 529-533 · Zbl 0065.01203
[15] Zassenhaus, H, The theory of groups, (1958), Chelsea New York
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