On integral representations of finite groups and rings generated by character values
type: Item
instance of: scholarly article
title: On integral representations of finite groups and rings generated by character values
zbMATH Open document ID: 1522.20038
author: Dmitry Malinin
publication date: 2023-06-28T00:00:00Z
Mathematics Subject Classification ID: 20C15
Mathematics Subject Classification ID: 11R04
zbMATH DE Number: 7703308
zbMATH Keywords: characters of finite groups
zbMATH Keywords: Schur index
zbMATH Keywords: globally irreducible representations
zbMATH Keywords: simple algebras over number fields
zbMATH Keywords: quaternions
zbMATH Keywords: Hilbert symbol
zbMATH Keywords: genera
zbMATH Keywords: splitting fields
MaRDI profile type: Publication
full work available at URL: s0219498823501207
OpenAlex ID: W4220881748
cites work: Orders generated by character values
cites work: Conjugate complex homogeneous spaces with non-isomorphic fundamental groups
cites work: Q3987893
cites work: Finite quaternionic reflection groups
cites work: Number Theory
cites work: On integral representations over cyclotomic fields
cites work: Q5340151
cites work: Q5542154
cites work: Q5335830
cites work: Q5531069
cites work: On generalized integral representations over Dedekind rings
cites work: Fields Generated by Characters of Finite Groups
cites work: Character coordinates and annihilators of cyclotomic numbers
cites work: Group Representations and Lattices
cites work: Groups over \(\mathbb{Z}\)
cites work: Zur Geschlechtertheorie in quadratischen Zahlkörpern
cites work: A supplement to Leopoldt's theory of genera in abelian number fields
cites work: Q3856843
cites work: Q4210020
cites work: Q4103728
cites work: Q4346209
cites work: Über die Hauptordnung der ganzen Elemente eines abelschen Zahlkörpers.
cites work: The ring of integers of an abelian number field.
cites work: Galois stability for integral representations of finite groups
cites work: Q5239676
cites work: On the integral and globally irreducible representations of finite groups
cites work: Realizability of two-dimensional linear groups over rings of integers of algebraic number fields.
cites work: On some integral representations of groups and global irreducibility.
cites work: Diophantine definability of nonnorms of cyclic extensions of global fields
cites work: Finite groups over arithmetical rings and globally irreducible representations.
cites work: Q4156876
cites work: On integral representations for \(\text{SL}(2,q)\)
cites work: Integral representations for the alternating groups
cites work: Q3950686
cites work: Three letters to Walter Feit on group representations and quaternions.
DOI: 10.1142/S0219498823501207
published in: Journal of Algebra and its Applications
description: scientific article; zbMATH DE number 7703308