The Schur indices of the irreducible characters of \(G_ 2(2^ n)\)
type: Item
instance of: scholarly article
title: The Schur indices of the irreducible characters of \(G_ 2(2^ n)\)
zbMATH Open document ID: 0828.20013
author: Hikoe Enomoto
author: Zyozyu Ohmori
published in: Proceedings of the Japan Academy. Series A
publication date: 1994-08-08T00:00:00Z
review text: Let \(G_2(q)\) be the finite Chevalley group of type \((G_2)\) over a finite field \(\mathbb{F}_q\) with \(q\) elements. It was shown by the second author [Tokyo J. Math. 8, 133-150 (1985; Zbl 0584.20032)] that the following theorem holds for odd \(q\): Theorem. The Schur index \(m_\mathbb{Q}(\chi)\) of any complex irreducible character \(\chi\) of \(G_2(q)\) with respect to \(\mathbb{Q}\) is equal to 1. In this paper we prove that the theorem holds also for \(q=2^n\).
Mathematics Subject Classification ID: 20C33
Mathematics Subject Classification ID: 20G05
Mathematics Subject Classification ID: 20G40
zbMATH DE Number: 597337
zbMATH Keywords: finite Chevalley groups
zbMATH Keywords: Schur index
zbMATH Keywords: complex irreducible characters
MaRDI profile type: Publication
full work available at URL: pjaa.69.350
OpenAlex ID: W1986804530
cites work: Q5551256
cites work: Q4722258
cites work: Schur indices of some finite Chevalley groups of rank 2. I
cites work: The Schur subgroup of the Brauer group
DOI: 10.3792/PJAA.69.350
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description: scientific article; zbMATH DE number 597337