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Connected components of the category of elementary abelian $p$-subgroups.

Mazza, Nadia (2008) Connected components of the category of elementary abelian $p$-subgroups. Journal of Algebra, 320 (12). pp. 4242-4248. ISSN 0021-8693

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    Abstract

    We determine the maximal number of conjugacy classes of maximal elementary abelian subgroups of rank $2$ in a finite $p$-group $G$, for an odd prime $p$. Namely, it is $p$ if $G$ has rank at least $3$ and it is $p+1$ if $G$ has rank $2$. More precisely, if $G$ has rank $2$, there are exactly $1,~2,~p+1$, or possibly $3$ classes for some $3$-groups of maximal nilpotency class.

    Item Type: Article
    Journal or Publication Title: Journal of Algebra
    Additional Information: The final, definitive version of this article has been published in the Journal, Journal of Algebra 320 (12), 2008, © ELSEVIER.
    Uncontrolled Keywords: p-groups ; Elementary abelian p-subgroups ; Posets of p-subgroups ; Group of endotrivial modules
    Subjects: Q Science > QA Mathematics
    Departments: Faculty of Science and Technology > Mathematics and Statistics
    ID Code: 20812
    Deposited By: Dr Nadia Mazza
    Deposited On: 03 Dec 2008 10:27
    Refereed?: No
    Published?: Published
    Last Modified: 09 Oct 2013 12:43
    Identification Number:
    URI: http://eprints.lancs.ac.uk/id/eprint/20812

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