The character table of a sharply 5-transitive subgroup of the alternating group of degree 12

Nick Gill, Sam Hughes

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Abstract

In this paper we calculate the character table of a sharply $5$-transitive subgroup of Alt(12), and of a sharply $4$-transitive subgroup of Alt(11). Our presentation of these calculations is new because we make no reference to the sporadic simple Mathieu groups, and instead deduce the desired character tables using only the existence of the stated multiply transitive permutation representations.
Original languageEnglish
Pages (from-to)11-30
JournalInternational Journal of Group Theory
Volume10
Issue number1
DOIs
Publication statusPublished - 1 Mar 2021

Keywords

  • permutation group
  • character theory

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