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

Nick Gill, Sam Hughes

    Allbwn ymchwil: Cyfraniad at gyfnodolynErthygladolygiad gan gymheiriaid

    12 Wedi eu Llwytho i Lawr (Pure)

    Crynodeb

    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.
    Iaith wreiddiolSaesneg
    Tudalennau (o-i)11-30
    CyfnodolynInternational Journal of Group Theory
    Cyfrol10
    Rhif cyhoeddi1
    Dynodwyr Gwrthrych Digidol (DOIs)
    StatwsCyhoeddwyd - 1 Maw 2021

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