Endliche auflösbare Gruppen, deren sämtliche Charaktergrade Primzahlpotenzen sind. (Finite solvable groups all whose character degrees are prime powers). (German) Zbl 0596.20007

Manz, Olaf

J. Algebra 94, 211-255 (1985).

This paper is part of the author’s dissertation ”Endliche Gruppen, deren sämtliche Charaktergrade Primzahlpotenzen sind” (Universität Mainz, 1984), which was reviewed in Zbl 0542.20003. Note that the paper under review consists of the first seven chapters of that dissertation. The remaining (eighth) chapter of it is the paper ”Endliche nicht- auflösbare Gruppen, deren sämtliche Charaktergrade Primzahlpotenzen sind” [in J. Algebra 96, 114-119 (1985)] which was reviewed in Zbl 0567.20004.

Reviewer: R.W.van der Waall

MSC:

20C15	Ordinary representations and characters
20D10	Finite solvable groups, theory of formations, Schunck classes, Fitting classes, \(\pi\)-length, ranks

Keywords:

prime power character degrees

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