Universal families of permutation groups.
type: Item
instance of: scholarly article
title: Universal families of permutation groups.
zbMATH Open document ID: 1182.20001
author: William M. Kantor
published in: Journal of Algebraic Combinatorics
publication date: 2009-05-04T00:00:00Z
review text: A family \(\mathcal F\) of finite permutation groups is called `universal' if each finite group is isomorphic to a 2-point stabiliser of a member of \(\mathcal F\). The author describes five families of finite permutation groups which are universal. In each example moreover, each finite group is isomorphic to a 2-point stabiliser of infinitely many members of \(\mathcal F\). The proofs are quite technical.
reviewed by: Alice Devillers
Mathematics Subject Classification ID: 20B05
zbMATH DE Number: 5550457
zbMATH Keywords: finite permutation groups
zbMATH Keywords: 2-point stabilizers
MaRDI profile type: Publication
full work available at URL: s10801-007-0105-0
OpenAlex ID: W2152330300
cites work: Q4871775
cites work: Random Permutations: Some Group-Theoretic Aspects
cites work: Probabilistic generation of finite simple groups
cites work: Two point stabilisers of partition actions of linear groups
cites work: Arbitrary groups as two-point stabilisers of symmetric groups acting on partitions
cites work: Automorphisms and isomorphisms of symmetric and affine designs
cites work: Structure and automorphism groups of Hadamard designs
DOI: 10.1007/S10801-007-0105-0
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description: scientific article; zbMATH DE number 5550457