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    Sylow Intersections, Double Cosets, and 2-Blocks


    Murray, John (2001) Sylow Intersections, Double Cosets, and 2-Blocks. Communications in Algebra, 29 (8). pp. 3609-3619. ISSN 1532-4125

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    Abstract

    Throughout G will be a finite group and F will be a finite field of characteristic p > 0, although we are mainly interested in the case p = 2. For convenience we assume that F is a splitting field for all subgroups of G. Let Z(p) denote the localization of the integers Z at the prime ideal pZ. If x ∈ Z(p), then x* will denote its image modulo the unique maximal ideal of Z(p). We regard x* as lying in the prime field GF(p) of F.

    Item Type: Article
    Keywords: Sylow Intersections; Double Cosets; 2-Blocks;
    Academic Unit: Faculty of Science and Engineering > Mathematics and Statistics
    Item ID: 2038
    Depositing User: Dr. John Murray
    Date Deposited: 06 Jul 2010 15:44
    Journal or Publication Title: Communications in Algebra
    Publisher: Taylor & Francis
    Refereed: No
    URI:

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