Document Zbl 0485.20016

Finite groups admitting the extensions of the automorphisms of a maximal elementary Abelian 2-subgroup. (English) Zbl 0485.20016

J. Algebra 73, 37-43 (1981).

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MSC:

20D45	Automorphisms of abstract finite groups
20D15	Finite nilpotent groups, \(p\)-groups
20D05	Finite simple groups and their classification

Keywords:

automorphisms of elementary abelian p-group; Suzuki 2-groups

Citations:

Zbl 0112.021

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Full Text: DOI

References:

[1]	Alperin, J. L., Sylow 2-subgroups of 2-rank three, Finite Groups 2, (Proceedings of the Gainesville Conference (1973), North-Holland: North-Holland Amsterdam) · Zbl 0269.20011
[2]	Alperin, J. L.; Brauer, R.; Gorenstein, D., Finite groups with quasi-dihedral and wreathed Sylow 2-subgroups, Trans. Amer. Math. Soc., 151, 1-261 (1970) · Zbl 0222.20002
[3]	Alperin, J. L.; Brauer, R.; Gorenstein, D., Finite simple groups of 2-rank two, Scripta Math., 2, 191-214 (1973) · Zbl 0274.20021
[4]	Beisiegel, B., Die Automorphismengruppen homozykhischer \(p\)-gruppen, Arch. Math. (Basel), 24, 363-366 (1977) · Zbl 0366.20010
[5]	Gaschütz, W.; Yen, Ti, Groups with an automorphism group which is transitive on the elements of prime order, Math. Z., 86, 123-127 (1964) · Zbl 0123.02701
[6]	Goldschmidt, D., 2-fusion in finite groups, Ann. of Math., 99, 70-117 (1974) · Zbl 0276.20011
[7]	Gorenstein, D., Finite Groups (1969), Harper & Row: Harper & Row New York · Zbl 0182.35402
[8]	Gross, F., 2-automorphic 2-groups, J. Algebra, 40, 348-353 (1976) · Zbl 0341.20015
[9]	Harada, K., On finite groups having self-centralizing 2-subgroups of small order, J. Algebra, 33, 144-160 (1975) · Zbl 0324.20029
[10]	Higman, G., Suzuki 2-groups, Illinois J. Math., 7, 79-96 (1963) · Zbl 0112.02107
[11]	Huppert, B., Endliche gruppen, I (1967), Springer-Verlag: Springer-Verlag Berlin/New York · Zbl 0217.07201
[12]	Landrock, P., Finite groups with a quasisimple component of type PSU \((3 2^n)\) on elementary abelian form, Illinois J. Math., 19, 198-230 (1975) · Zbl 0353.20012
[13]	O’Nan, M., Some evidence for the existence of a new simple group, (Proc. London Math. Soc., 32 (1976)), 421-479 · Zbl 0356.20020
[14]	O’Nan, M.; Solomon, R., Simple groups transitive on internal flags, J. Algebra, 39, 375-409 (1976) · Zbl 0344.20009
[15]	Sah, C. H., Cohomology of split-group extensions, II, J. Algebra, 45, 17-68 (1977) · Zbl 0352.18021
[16]	Thwaites, G. N., The abelian \(p\)-subgroups of \(GL (n, p)\) of maximal rank, Bull. London Math. Soc., 4, 313-320 (1972) · Zbl 0262.20054

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