Minimal permutation representation of Thompson's simple group
type: Item
instance of: scholarly article
title: Minimal permutation representation of Thompson's simple group
zbMATH Open document ID: 0688.20004
DOI: 10.1007/BF01982274
published in: Algebra and Logic
publication date: 1988-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/187443
review text: Thompson's finite sporadic group \(F_ 3\) has a subgroup H of minimal possible index 143,127,000. This group H is isomorphic to \({}^ 3D_ 4(2).3\) (the split extension). The permutation representation of \(F_ 3\) on cosets \(F_ 3/H\) has rank 11. The purpose of this paper is to obtain subdegrees and stabilizers of two points in this permutation representation.
Mathematics Subject Classification ID: 20C15
Mathematics Subject Classification ID: 20D08
Mathematics Subject Classification ID: 20D60
zbMATH DE Number: 4127481
zbMATH Keywords: Thompson's finite sporadic group \(F_ 3\)
zbMATH Keywords: permutation representation
zbMATH Keywords: cosets
zbMATH Keywords: subdegrees
zbMATH Keywords: stabilizers
author: V. D. Mazurov
reviewed by: S. A. Syskin
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4127481