Parabolic permutation representations of the groups \(^2F_4(q)\) and \(^3D_4(q^3)\)
type: Item
instance of: scholarly article
title: Parabolic permutation representations of the groups \(^2F_4(q)\) and \(^3D_4(q^3)\)
zbMATH Open document ID: 0965.20007
DOI: 10.1007/BF02675792
author: V. V. Korableva
published in: Mathematical Notes
publication date: 2001-05-07T00:00:00Z
review text: An important class of permutation representations of groups of Lie type is formed by parabolic representations, i. e., representations on cosets of parabolic subgroups. For finite simple groups of twisted Lie type, the faithful parabolic representations of minimal degree were studied by \textit{A. V. Vasil'ev} [Algebra Logika 37, No. 1, 17-35 (1998; Zbl 0941.20007)]. In the present paper, the degrees, ranks, subdegrees, and double centralizers of the primitive parabolic representations of nonminimal degree of the twisted groups \(^2F_4(q)\) and \(^3D_4(q^3)\) are found.
reviewed by: Anatoli Kondrat'ev
Mathematics Subject Classification ID: 20C33
Mathematics Subject Classification ID: 20D06
Mathematics Subject Classification ID: 20B15
Mathematics Subject Classification ID: 20G40
zbMATH DE Number: 1517721
zbMATH Keywords: finite groups of Lie type
zbMATH Keywords: primitive permutation representations
zbMATH Keywords: ranks
zbMATH Keywords: subdegrees
zbMATH Keywords: double centralizers
MaRDI profile type: Publication
cites work: Minimal degree for a permutation representation of a classical group
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cites work: Q5662096
cites work: A Family of Simple Groups Associated with the Simple Lie Algebra of Type (F 4 )
cites work: Q4063620
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description: scientific article; zbMATH DE number 1517721