Active sums. II.
type: Item
instance of: scholarly article
title: Active sums. II.
zbMATH Open document ID: 1121.20040
author: Alejandro Díaz-Barriga
author: Francisco Marmolejo
author: Leopoldo Román
author: F. González-Acuña
published in: Osaka Journal of Mathematics
publication date: 2007-04-10T00:00:00Z
review text: The authors give in this paper the following examples for finite groups that are not active sums of cyclic subgroups [for part I cf. the authors, Rev. Mat. Complut. 17, No. 2, 287-319 (2004; Zbl 1069.20046)]: The alternating groups \(A_n\) for \(n\geq 4\), some projective linear groups, and \(p\)-groups in which the normalizer and the centralizer of every element coincide. These examples of \(p\)-groups also provide groups that are not molecular.
Mathematics Subject Classification ID: 20J15
Mathematics Subject Classification ID: 20D99
Mathematics Subject Classification ID: 20E06
Mathematics Subject Classification ID: 20F05
Mathematics Subject Classification ID: 20D15
Mathematics Subject Classification ID: 20D30
zbMATH DE Number: 5141395
zbMATH Keywords: active sums of cyclic groups
zbMATH Keywords: alternating groups
zbMATH Keywords: finite \(p\)-groups
zbMATH Keywords: molecular groups
zbMATH Keywords: categories of groups
reviewed by: C. G. Chehata
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 5141395