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Some finite solvable groups with no outer automorphisms. (English) Zbl 0436.20014


MSC:

20D45 Automorphisms of abstract finite groups
20D10 Finite solvable groups, theory of formations, Schunck classes, Fitting classes, \(\pi\)-length, ranks
20D20 Sylow subgroups, Sylow properties, \(\pi\)-groups, \(\pi\)-structure
20D40 Products of subgroups of abstract finite groups
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References:

[1] Carter, R. W.; Fong, P., The Sylow 2-subgroups of the finite classical groups, J. Algebra, 1, 139-151 (1964) · Zbl 0123.02901
[2] Dark, R. S., A complete group of odd order, (Math. Proc. Cambridge Philos. Soc., 77 (1975)), 21-28 · Zbl 0303.20018
[3] Gagen, T. M.; Robinson, D. J.S., Finite metabelian groups with no outer automorphisms, Arch. Math., 32, 417-423 (1979) · Zbl 0401.20011
[4] Gaschu¨tz, W., Nichtabelsche \(p\)-Gruppen besitzenäuβere \(p\)-Automorphismen, J. Algebra, 4, 1-2 (1966) · Zbl 0142.26001
[5] Gorenstein, D., Finite Groups (1968), Harper & Row: Harper & Row New York · Zbl 0185.05701
[6] Horozˇevskiiˇ, M. V., Algebra and Logic, 13, 34-40 (1974)
[7] Huppert, B., Endliche Gruppen (1967), Springer-Verlag: Springer-Verlag Berlin/Heidelberg/New York · Zbl 0217.07201
[8] Weir, A., Sylow \(p\)-subgroups of the classical groups over finite fields of characteristic prime to \(p\), (Proc. Amer. Math. Soc., 6 (1955)), 529-533 · Zbl 0065.01203
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