An algorithm for the Thompson subgroup of ap-group

Peter Rowley, Paul Taylor

    Research output: Contribution to journalArticlepeer-review

    Abstract

    For a p-group P, pa prime, there are two versions of the Thompson subgroup of P, namely the elementary version Je(P)and the non-elementary version J(P). This paper describes algorithms for calculating these two subgroups. Depending on P, these algorithms are effective for groups of order up to p30. By modifying these algorithms we also produce algorithms for K(P), a further characteristic subgroup also introduced by Thompson [20], and characteristic subgroups D(P)and De(P)introduced by Glauberman and Solomon [12]. Sample calculations using these algorithms are discussed with an accompanying file giving details of these calculations, along with the code for the algorithm.
    Original languageEnglish
    Pages (from-to)375-389
    JournalJournal of Algebra
    Volume461
    Early online date7 Jun 2016
    DOIs
    Publication statusPublished - 2016

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