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  • On the maximum orders of elements of finite almost simple groups and primitive permutation groups
    Guest, Simon ...
    We determine upper bounds for the maximum order of an element of a finite almost simple group with socle ▫$T$▫ in terms of the minimum index ▫$m(T)$▫ of a maximal subgroup of ▫$T$▫: for ▫$T$▫ not an ... alternating group we prove that, with finitely many exceptions, the maximum element order is at most ▫$m(T)$▫. Moreover, apart from an explicit list of groups, the bound can be reduced to ▫$m(T)/4$▫. These results are applied to determine all primitive permutation groups on a set of size ▫$n$▫ that contain permutations of order greater than or equal to ▫$n/4$▫.
    Source: Transactions of the American Mathematical Society. - ISSN 0002-9947 (Vol. 367, no. 11, Mar. 2015, str. 7665-7694)
    Type of material - article, component part ; adult, serious
    Publish date - 2015
    Language - english
    COBISS.SI-ID - 18654553

    Link(s):

    https://doi.org/10.1090/s0002-9947-2015-06293-x
    DOI

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