Random Permutations: Some Group-Theoretic Aspects

Peter J. Cameron, William M. Kantor

Research output: Contribution to journalArticlepeer-review

38 Citations (Scopus)

Abstract

The study of asymptotics of random permutations was initiated by Erdős and Turáan, in a series of papers from 1965 to 1968, and has been much studied since. Recent developments in permutation group theory make it reasonable to ask questions with a more group-theoretic flavour. Two examples considered here are membership in a proper transitive subgroup, and the intersection of a subgroup with a random conjugate. These both arise from other topics (quasigroups, bases for permutation groups, and design constructions).

Original languageEnglish
Pages (from-to)257-262
Number of pages6
JournalCombinatorics, Probability and Computing
Volume2
Issue number3
DOIs
Publication statusPublished - 1 Jan 1993

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