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  • On overgroups of regular abelian p-groups
    Dobson, Edward Tauscher, 1965-
    Let ▫$G$▫ be a transitive group of odd prime-power degree whose Sylow ▫$p$▫-subgroup ▫$P$▫ is abelian od rank ▫$t$▫. Weshow that if ▫$p > 2^{t-1}$▫, then ▫$G$▫ has a normal subgroup that is a direct ... product of ▫$t$▫ permutation groups of smaller degree that are either cyclic or doubly-transitive simple groups. As a consequence, we determine the full automorphism group of a Cayley diagraph of an abelian group with rank two such that the Sylow ▫$p$▫-subgroup of the full automorphism group is abelian.
    Vir: Ars mathematica contemporanea. - ISSN 1855-3966 (Vol. 2, no. 1, 2009, str. 59-76)
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 2009
    Jezik - angleški
    COBISS.SI-ID - 15159641

    Povezava(-e):

    http://amc.imfm.si/index.php/amc/article/viewFile/70/62
    Digitalna knjižnica Slovenije - dLib.si
    Repozitorij Univerze na Primorskem - RUP

vir: Ars mathematica contemporanea. - ISSN 1855-3966 (Vol. 2, no. 1, 2009, str. 59-76)

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