Finite nonprimarily factorizable groups
type: Item
instance of: scholarly article
title: Finite nonprimarily factorizable groups
zbMATH Open document ID: 0606.20025
DOI: 10.1007/BF01056759
author: V. V. Atamas'
published in: Ukrainian Mathematical Journal
publication date: 1986-01-01T00:00:00Z
review text: Let H be an extension of an elementary abelian p-group by a group of prime order q, \(p\neq q\); then H is called quasielementary group. Theorem. The following assertions are equivalent: (a) Every quasielementary subgroup of G is complemented. (b) Every non-primary subgroup of G is complemented. \textit{Eh. S. Alekseeva} [in Groups with systems of complemented subgroups, 147-179 (1971; Zbl 0276.20019)] has classified all finite groups with property (b).
Mathematics Subject Classification ID: 20D40
Mathematics Subject Classification ID: 20D10
Mathematics Subject Classification ID: 20D30
zbMATH DE Number: 3979350
zbMATH Keywords: complemented subgroup
zbMATH Keywords: p-group
zbMATH Keywords: quasielementary group
reviewed by: Yakov Berkovich
MaRDI profile type: Publication
cites work: Q3270630
cites work: Zur Erweiterungstheorie der endlichen Gruppen.
full work available at URL: https://doi.org/10.1007/bf01056759
OpenAlex ID: W2041813162
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description: scientific article; zbMATH DE number 3979350