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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