Modular representation theory of blocks with trivial intersection defect groups

An, Jainbei and Eaton, Charles W. (2005) Modular representation theory of blocks with trivial intersection defect groups. Algebras and Representation Theory, 8 (3). pp. 427-448. ISSN 1386-923X

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Abstract

We show that Uno's refinement of the projective conjecture of Dade holds every block whose defect groups intersect trivially modulo the maximal normal p-subgroup. This corresponds to the block having p-local rank one as defined by Jianbei An and Eaton. An immediate consequence is that Dade's projective conjecture, Alperin-McKay conjecture and Puig's nilpotent block conjecture hold for all trivial intersection blocks.

Item Type:	Article
Subjects:	MSC 2010, the AMS's Mathematics Subject Classification > 20 Group theory and generalizations
Depositing User:	Dr Charles Eaton
Date Deposited:	11 Oct 2009
Last Modified:	20 Oct 2017 14:12
URI:	https://eprints.maths.manchester.ac.uk/id/eprint/1330

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