Document Zbl 0486.20015

The maximal subgroups of \(G_ 2(\)4). (English) Zbl 0486.20015

J. Algebra 76, 171-185 (1982).

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MSC:

20D05	Finite simple groups and their classification
20D30	Series and lattices of subgroups
20G40	Linear algebraic groups over finite fields

Keywords:

conjugate classes of Chevalley groups; simple subgroups; maximal subgroups; finite simple group; p-local subgroups; characteristically simple subgroups; Hall-Janko group

Citations:

Zbl 0285.20043; Zbl 0242.20049; Zbl 0463.20016

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References:

[1]	Borel, A.; Tits, J., Éléments unipotents et sousgroups paraboliques de groupes réductifs, I, Invent. Math., 12, 95-104 (1971) · Zbl 0238.20055
[2]	Carter, R., Simple groups and simple Lie algebras, J. London Math. Soc., 40, 193-240 (1965) · Zbl 0232.20017
[3]	Carter, R., Simple Groups of Lie Type (1972), Wiley: Wiley London · Zbl 0248.20015
[4]	Chang, B., The conjugate classes of Chevalley groups of type \((G_2)\), J. Algebra, 9, 190-211 (1968) · Zbl 0285.20043
[5]	Coxeter, H. S.M; Moser, W. O.J, Generators and Relations for Discrete Groups (1957), Springer-Verlag: Springer-Verlag Berlin · Zbl 0077.02801
[6]	Enomoto, H., The conjugacy classes of Chevalley groups of type \((G_2)\) over finite fields of characteristic 2 or 3, J. Fac. Sci. Univ. Tokyo Sect. IA Math, 16, 497-512 (1970) · Zbl 0242.20049
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[9]	Finkelstein, L.; Rudvalis, A., The maximal subgroups of Janko’s simple group of order 50, 232, 960, J. Algebra, 30, 122-143 (1974) · Zbl 0325.20010
[10]	Fischer, J.; McKay, J., The nonabelian simple groups \(G, ¦ G ¦ < \(10^6\)—Maximal subgroups, Math. Comp., 32, 1293-1302 (1978) · Zbl 0388.20010
[11]	Hall, M., Simple groups of order less than one million, J. Algebra, 20, 98-102 (1972) · Zbl 0239.20014
[12]	Hall, M.; Wales, D., The simple group of order 604, 800, J. Algebra, 9, 417-450 (1968) · Zbl 0172.03103
[13]	McKay, J., The non-Abelian simple groups \(G, ¦ G ¦ < \(10^6\)—Character tables, Comm. Algebra, 7, 1407-1445 (1979) · Zbl 0418.20009
[14]	Wales, D., The uniqueness of the simple group of order 604, 800 as a subgroup of \(SL_6(4)\), J. Algebra, 11, 455-460 (1969) · Zbl 0165.34004
[15]	Wright, D., The irreducible characters of the simple group of M. Suzuki of order 448, 345, 497, 600, J. Algebra, 29, 303-323 (1974) · Zbl 0278.20015

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