Transitive permutation groups where nontrivial elements have at most two fixed points.
type: Item
instance of: scholarly article
title: Transitive permutation groups where nontrivial elements have at most two fixed points.
zbMATH Open document ID: 1312.20001
author: Kay Magaard
author: Rebecca Waldecker
published in: Journal of Pure and Applied Algebra
publication date: 2014-12-05T00:00:00Z
review text: Motivated by an application to the theory of compact Riemann surfaces, the authors describe finite transitive permutation groups that act nonregularly, such that every nontrivial element has at most two fixed points. In particular, it is proved that if the group is simple then it is isomorphic to \(\text{PSL}_3(4)\), \(\text{PSL}_2(q)\) or \(Sz(q)\).
reviewed by: Anatoli Kondrat'ev
Mathematics Subject Classification ID: 20B10
Mathematics Subject Classification ID: 20D05
zbMATH DE Number: 6377259
zbMATH Keywords: finite permutation groups
zbMATH Keywords: transitive permutation groups
zbMATH Keywords: finite simple groups
zbMATH Keywords: Riemann surfaces
describes a project that uses: GAP
MaRDI profile type: Publication
full work available at URL: j.jpaa.2014.04.027
OpenAlex ID: W2034476771
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DOI: 10.1016/J.JPAA.2014.04.027
description: scientific article; zbMATH DE number 6377259