Group rings and the norm groups
type: Item
instance of: scholarly article
title: Group rings and the norm groups
zbMATH Open document ID: 0807.11048
author: Shin-ichi Katayama
published in: Proceedings of the Japan Academy. Series A
publication date: 1994-08-08T00:00:00Z
review text: The author's purpose is to determine the set of all polynomials in \(\mathbb{Z}[t]\) with \(f(t)\) dividing \(t^ n-1\) of a form called \(H\)-type (which means that if \(G\) is a cyclic group of order \(a\) generated by \(\sigma\) then \(a^{f(\sigma)}=1\) implies the existence of a \(b\) with \(a=b^{(\sigma^ n -1)/ f(\sigma)}\)).
Mathematics Subject Classification ID: 11R09
zbMATH DE Number: 597340
zbMATH Keywords: polynomials
zbMATH Keywords: \(H\)-type
reviewed by: Richard A. Mollin
MaRDI profile type: Publication
full work available at URL: pjaa.69.363
OpenAlex ID: W1991591436
cites work: Quasi-permutation modules over finite groups
cites work: A cyclotomic Hilbert 90 theorem
cites work: Q4092059
DOI: 10.3792/PJAA.69.363
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description: scientific article; zbMATH DE number 597340