Quasibases of \(p\)-groups
type: Item
instance of: scholarly article
title: Quasibases of \(p\)-groups
zbMATH Open document ID: 0941.20060
author: Otto Mutzbauer
author: Elias Toubassi
published in: Rendiconti del Seminario Matematico della Università di Padova
publication date: 2000-05-16T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/108513
review text: A quasibasis for an Abelian \(p\)-group \(G\) is a set of generators for a basic subgroup \(B\) together with a set of representatives for generators of the divisible quotient group \(G/B\). The main problem is to describe the relations among these generators. This the authors do by means of an array with four parameters. When the relations have a particular standard form, the quasibasis is called inductive. The authors show how to construct inductive quasibases and how to use them to recognize various invariants of the group.
Mathematics Subject Classification ID: 20K10
Mathematics Subject Classification ID: 20F05
Mathematics Subject Classification ID: 20K27
zbMATH DE Number: 1395892
zbMATH Keywords: basic subgroups
zbMATH Keywords: presentations
zbMATH Keywords: Abelian \(p\)-groups
zbMATH Keywords: generators
zbMATH Keywords: relations
zbMATH Keywords: inductive quasibases
reviewed by: Phillip Schultz
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1395892