The structure of blocks with a Klein four defect group

Craven, David A. and Eaton, Charles W. and Kessar, Radha and Linckelmann, Markus (2009) The structure of blocks with a Klein four defect group. [MIMS Preprint]

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Abstract

We prove Erdmann's conjecture stating that every block with a Klein four defect group has a simple module with trivial source, and deduce from this that Puig's finiteness conjecture holds for source algebras of blocks with a Klein four defect group. The proof uses the classification of finite simple groups.

Item Type: MIMS Preprint
Subjects: MSC 2010, the AMS's Mathematics Subject Classification > 20 Group theory and generalizations
Depositing User: Dr Charles Eaton
Date Deposited: 10 Oct 2009
Last Modified: 08 Nov 2017 18:18
URI: https://eprints.maths.manchester.ac.uk/id/eprint/1324

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