Schur indices and \(3D_ 4(q^ 3)\), q odd
type: Item
instance of: scholarly article
title: Schur indices and \(3D_ 4(q^ 3)\), q odd
zbMATH Open document ID: 0648.20013
DOI: 10.1016/0021-8693(88)90124-X
author: Michael J. J. Barry
published in: Journal of Algebra
publication date: 1988-01-01T00:00:00Z
review text: It is an important problem to determine the Schur indices m(\(\chi)\) of all the irreducible ordinary characters \(\chi\) of all the finite simple groups G. Let q be a power of an odd prime and let G be a Steinberg triality \(3D_ 4(q^ 3)\). In this article the author shows the following beautiful Theorem: \(m(\chi)=1\) for every \(\chi \in Irr_{{\mathbb{C}}}(G)\).
Mathematics Subject Classification ID: 20C15
Mathematics Subject Classification ID: 20G40
Mathematics Subject Classification ID: 20D05
zbMATH DE Number: 4057765
zbMATH Keywords: Schur indices
zbMATH Keywords: irreducible ordinary characters
zbMATH Keywords: finite simple groups
zbMATH Keywords: Steinberg triality
reviewed by: Gerhard O. Michler
MaRDI profile type: Publication
cites work: Q3907722
cites work: Character Table and Blocks of Finite Simple Triality Groups 3 D 4 (q)
cites work: The computations of some Schur indices
cites work: Schur indices of some groups of Lie type
cites work: On the Schur indices of GL(n,q) and SL(2n+1,q)
cites work: ON THE SCHUR INDICES OF REDUCTIVE GROUPS II
cites work: Caractères unipotents de \({}^ 3D_ 4({\mathbb{F}}_ q)\)
description: scientific article; zbMATH DE number 4057765