A system of invariants for some groups of class 2 with commutator subgroup of rank two
type: Item
instance of: scholarly article
title: A system of invariants for some groups of class 2 with commutator subgroup of rank two
zbMATH Open document ID: 0604.20022
DOI: 10.1007/BF01059600
author: A. L. Vishnevetskij
published in: Ukrainian Mathematical Journal
publication date: 1985-01-01T00:00:00Z
review text: A classification of the following two families of groups of class 2 is given: (i) finite groups whose exponent is not divisible by the square of a prime and whose commutator subgroup has order not divisible by the cube of a prime, (ii) finitely generated divisible groups without torsion with commutator subgroup of rank two. Here a divisible group is called finitely generated if it is generated by a finite set under the operation of multiplication, division and extraction of roots. A complete set of invariants of the isomorphism classes of the two families is described.
Mathematics Subject Classification ID: 20D15
Mathematics Subject Classification ID: 20F12
Mathematics Subject Classification ID: 20F05
Mathematics Subject Classification ID: 20E34
Mathematics Subject Classification ID: 20F16
zbMATH DE Number: 3975195
zbMATH Keywords: groups of class 2
zbMATH Keywords: exponent
zbMATH Keywords: finitely generated divisible groups
zbMATH Keywords: commutator subgroup
zbMATH Keywords: invariants
reviewed by: Hans-Jochen Bartels
MaRDI profile type: Publication
cites work: Q5818478
cites work: Q5803284
full work available at URL: https://doi.org/10.1007/bf01059600
OpenAlex ID: W2002679650
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description: scientific article; zbMATH DE number 3975195