Integral representations of a certain twisted group ring
type: Item
instance of: scholarly article
title: Integral representations of a certain twisted group ring
zbMATH Open document ID: 0693.16007
DOI: 10.1016/0021-8693(89)90151-8
author: A. Chalatsis
author: Th. Theohari-Apostolidi
published in: Journal of Algebra
publication date: 1989-01-01T00:00:00Z
review text: Let K be a global field, L a Galois extension of K of degree 2 with Galois group G, R a Dedekind domain with quotient field K, and S the integral closure of R in L. If \(\Lambda\) is the twisted group ring of G over S, the authors study the \(\Lambda\) lattices. An interesting explicit formula (which involves the class number of R) for the number of non- isomorphic indecomposable lattices is obtained by studying the related problem over local fields. Here, with R a complete discrete valuation ring with quotient field K, the authors give a complete list of the indecomposable \(\Lambda\) lattices.
Mathematics Subject Classification ID: 16H05
Mathematics Subject Classification ID: 16S34
zbMATH DE Number: 4134247
zbMATH Keywords: twisted group ring
zbMATH Keywords: class number
zbMATH Keywords: number of non-isomorphic indecomposable lattices
reviewed by: E. Spiegel
MaRDI profile type: Publication
full work available at URL: 0021-8693(89)90151-8
OpenAlex ID: W2017046612
cites work: Q3922829
cites work: Q4061092
cites work: The structure over \(\mathbb{Z}[q,q^{-1}]\) of Hecke orders of dihedral groups
cites work: Q3856855
cites work: On integral representations of twisted group rings
cites work: On the representation type of local twisted group rings
cites work: Crossed Products and Hereditary Orders
cites work: Twisted Group Rings and Ramification
description: scientific article; zbMATH DE number 4134247