Document Zbl 0307.20016

Normal \(p\)-subgroups in the group of outer automorphisms of a finite \(p\)-group. (English) Zbl 0307.20016

Math. Z. 147, 271-277 (1976).

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MSC:

20D45	Automorphisms of abstract finite groups
20D15	Finite nilpotent groups, \(p\)-groups
20J05	Homological methods in group theory

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References:

[1]	Bourbaki, N.: Algèbre, chap. 9: Formes sesquilinéaire, et formes quadratique. Paris: Hermann 1959 · Zbl 0102.25503
[2]	Gaschütz, W.: Kohomologische Trivialitäten und äußere Automorphismen vonp-Gruppen. Math. Z.88, 432-433 (1965) · Zbl 0199.06302 · doi:10.1007/BF01112225
[3]	Gaschütz, W.: Nichtabelschep-Gruppen besitzen äußerep-Automorphismen. J. Algebra4, 1-2 (1966) · Zbl 0142.26001 · doi:10.1016/0021-8693(66)90045-7
[4]	Gorenstein, D.: Finite groups. New York-Evanston-London: Harper-Row 1968 · Zbl 0185.05701
[5]	Huppert, B.: Endliche Gruppen I. Berlin-Heidelberg-New York: Springer 1967 · Zbl 0217.07201
[6]	Thompson, J.: Normalp-complements for finite groups. Math. Z.72, 332-354 (1960) · Zbl 0098.02003 · doi:10.1007/BF01162958
[7]	Wells, Ch.: Automorphisms of group extensions. Trans. Amer. math. Soc.155, 189-194 (1960) · Zbl 0221.20054 · doi:10.1090/S0002-9947-1971-0272898-8
[8]	Wong, W.J.: A cohomological characterization of finite nilpotent groups. Proc. Amer. math. Soc.19, 689-691 (1968) · Zbl 0157.05602 · doi:10.1090/S0002-9939-1968-0229728-5

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