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Control of transfer and weak closure in fusion systems.

Diaz, Antonio and Glesser, Adam and Mazza, Nadia and Park, Sejong (2010) Control of transfer and weak closure in fusion systems. Journal of Algebra, 323 (2). pp. 382-392. ISSN 0021-8693

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    Abstract

    We show that $\K_\infty$ and $\K^\infty$ control transfer in every fusion system on a finite $p$-group when $p \geq 5$, and that they control weak closure of elements in every fusion system on a finite $p$-group when $p \geq 3$. This generalizes results of G. Glauberman concerning finite groups.

    Item Type: Article
    Journal or Publication Title: Journal of Algebra
    Uncontrolled Keywords: Fusion systems ; Control of transfer ; Weak closure ; Characteristic p-functors
    Subjects: Q Science > QA Mathematics
    Departments: Faculty of Science and Technology > Mathematics and Statistics
    ID Code: 27177
    Deposited By: Dr Nadia Mazza
    Deposited On: 07 Oct 2009 14:38
    Refereed?: Yes
    Published?: Published
    Last Modified: 09 Oct 2013 12:44
    Identification Number:
    URI: http://eprints.lancs.ac.uk/id/eprint/27177

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