On the Schur indices of the irreducible characters of finite unitary groups
type: Item
instance of: scholarly article
title: On the Schur indices of the irreducible characters of finite unitary groups
zbMATH Open document ID: 0967.20026
author: Zyozyu Ohmori
published in: Tokyo Journal of Mathematics
publication date: 2001-05-29T00:00:00Z
review text: The author investigates the Schur indices of the irreducible characters of the finite unitary groups \(U(n,q^2)\), where \(q\) is a power of a prime \(p\). It is known from earlier work of Gow and the author that these Schur indices will be at most \(2\), and that the local Schur indices will all be \(1\), except possibly at \(\infty\) and \(p\). In this paper, the author investigates conditions under which the Schur index of such a character is \(1\), and conditions under which the Schur index is \(2\). These conditions are sufficient to calculate the Schur indices of many irreducible characters of \(U(n,q^2)\), including all the irreducible characters in the case \(p=2\).
reviewed by: Alexandre Turull
Mathematics Subject Classification ID: 20G05
Mathematics Subject Classification ID: 20G40
Mathematics Subject Classification ID: 20C15
Mathematics Subject Classification ID: 20C33
zbMATH DE Number: 1523367
zbMATH Keywords: Schur indices
zbMATH Keywords: finite unitary groups
zbMATH Keywords: irreducible characters
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.3836/tjm/1255958805
OpenAlex ID: W2050129522
DOI: 10.3836/TJM/1255958805
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description: scientific article; zbMATH DE number 1523367