Character-theoretic transfer. II
type: Item
instance of: scholarly article
title: Character-theoretic transfer. II
zbMATH Open document ID: 0656.20008
DOI: 10.1016/0021-8693(88)90040-3
author: Tomoyuki Yoshida
published in: Journal of Algebra
publication date: 1988-01-01T00:00:00Z
review text: The author provides some refinements of his results established in part I [ibid. 52, 1-38 (1978; Zbl 0399.20006)]. Among other discoveries, the author gives a character-theoretic condition that a cyclic group is contained in the commutator subgroup of a finite group. This condition is then applied to prove an extension of Schur's results on the exponents of Schur multipliers. An extension of Thompson's transfer lemma to odd primes is also provided.
reviewed by: G.Karpilovsky
Mathematics Subject Classification ID: 20C15
Mathematics Subject Classification ID: 20C25
Mathematics Subject Classification ID: 20D20
zbMATH DE Number: 4071172
zbMATH Keywords: character-theoretic transfer
zbMATH Keywords: exponents of Schur multipliers
zbMATH Keywords: Thompson's transfer lemma
MaRDI profile type: Publication
full work available at URL: 0021-8693(88)90040-3
OpenAlex ID: W2015380672
cites work: Q4097001
cites work: Endliche Gruppen I
cites work: Q5663963
cites work: Character-theoretic transfer
description: scientific article; zbMATH DE number 4071172