Character tables of parabolic subgroups of Steinberg's triality groups.
type: Item
instance of: scholarly article
title: Character tables of parabolic subgroups of Steinberg's triality groups.
zbMATH Open document ID: 1070.20015
author: Frank Himstedt
published in: Journal of Algebra
publication date: 2004-11-26T00:00:00Z
review text: Let \(^3D_4(q)\) denote the Steinberg triality group where \(q=p^n\), \(p\) a prime number. In this paper the author calculates the character tables of the three proper parabolic subgroups of \(^3D_4(q)\) in the case of odd \(p\). The complete character table of the group \(^3D_4(q)\) was already constructed by \textit{D. I. Deriziotis} and \textit{G. O. Michler} [Trans. Am. Math. Soc. 303, 39--70 (1987; Zbl 0628.20014)] and \textit{N. Spaltenstein} [Comment. Math. Helv. 57, 676--691 (1982; Zbl 0536.20025)] and the author uses the results of these papers on unipotent characters of \(^3D_4(q)\) to complete his work. From the text of the addendum: ``This article was to be part of this first special issue on computational algebra but was published in error in a regular issue. The publisher would like to apologize for any inconvenience that this may have caused. For readers of the online version, please follow the link provided. For readers of the print version, the entire article is republished in full at the end of this issue.''
Mathematics Subject Classification ID: 20C33
Mathematics Subject Classification ID: 20G05
Mathematics Subject Classification ID: 20G40
zbMATH DE Number: 2119122
zbMATH Keywords: character tables
zbMATH Keywords: parabolic subgroups
zbMATH Keywords: Steinberg triality groups
zbMATH Keywords: unipotent characters
reviewed by: M. R. Darafsheh
describes a project that uses: Maple
describes a project that uses: CHEVIE
describes a project that uses: GAP
MaRDI profile type: Publication
full work available at URL: j.jalgebra.2004.07.012
OpenAlex ID: W2014722240
cites work: Q5662096
cites work: Q3682663
cites work: Q4002478
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cites work: Q3996516
cites work: Q4722258
cites work: Q3998011
cites work: Generalized gelfand-graev characters for steinberg's triality groups and their applications
cites work: CHEVIE -- A system for computing and processing generic character tables
cites work: Endliche Gruppen I
cites work: Q4103728
cites work: Decomposition numbers of \(\text{Sp}(4,q)\)
cites work: Caractères unipotents de \({}^ 3D_ 4({\mathbb{F}}_ q)\)
DOI: 10.1016/J.JALGEBRA.2004.07.012
description: scientific article; zbMATH DE number 2119122