MURAL - Maynooth University Research Archive Library

    Cartan Invariants and Central Ideals of Group Algebras

    Murray, John and Breuer, Thomas and Hethelyi, Laszlo and Horvath, Erzsebet and Kulshammer, Burkhard (2006) Cartan Invariants and Central Ideals of Group Algebras. Journal of Algebra, 296. pp. 177-196.

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    Abstract. In this paper we investigate general properties of Cartan invariants of a finite group G in characteristic 2. One of our results shows that the Cartan matrix of G in characteristic 2 contains an odd diagonal entry if and only if G contains a real element of 2-defect zero. We also apply these results to 2-blocks of symmetric groups and to blocks with normal or abelian defect groups. The second part of the paper deals with annihilators of certain ideals in centers of group algebras and blocks.

    Item Type: Article
    Keywords: Cartan; invariants; Group Algebras;
    Academic Unit: Faculty of Science and Engineering > Mathematics and Statistics
    Item ID: 971
    Depositing User: Dr. John Murray
    Date Deposited: 23 Sep 2008
    Journal or Publication Title: Journal of Algebra
    Publisher: Elsevier
    Refereed: Yes
    Use Licence: This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

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