Capability of a pair of groups.
type: Item
instance of: scholarly article
title: Capability of a pair of groups.
zbMATH Open document ID: 1239.20035
author: Azam Pourmirzaei
author: Azam Hokmabadi
author: Saeed Kayvanfar
published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series
publication date: 2012-01-26T00:00:00Z
full work available at URL: vol35 1 19.html
review text: A group \(G\) is called capable if \(G\) is the group of inner automorphisms of some group \(E\). In this paper the authors generalize the definition of capable group to pairs of groups in such a way that \(G\) is capable if and only if the pair \((G,G)\) is capable (the precise definition is too involved to be stated here). A complete theory of capable pairs is provided.
reviewed by: Enrico Jabara
Mathematics Subject Classification ID: 20E34
Mathematics Subject Classification ID: 20E36
Mathematics Subject Classification ID: 20F28
Mathematics Subject Classification ID: 20E22
Mathematics Subject Classification ID: 20E07
zbMATH DE Number: 6000398
zbMATH Keywords: capability
zbMATH Keywords: pairs of groups
zbMATH Keywords: central extensions
zbMATH Keywords: groups of inner automorphisms
zbMATH Keywords: capable groups
zbMATH Keywords: precise center
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 6000398