Morita equivalence classes of 2-blocks of defect three

Eaton, Charles W. (2014) Morita equivalence classes of 2-blocks of defect three. [MIMS Preprint]

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We give a complete description of the Morita equivalence classes of blocks with elementary abelian defect groups of order $8$ and of the derived equivalences between them. A consequence is the verification of Brou\'e's abelian defect group conjecture for these blocks. It also completes the classification of Morita and derived equivalence classes of $2$-blocks of defect at most three defined over a suitable field.

Item Type: MIMS Preprint
Uncontrolled Keywords: Finite group, block, Morita equivalence, derived equivalence, representation theory
Subjects: MSC 2010, the AMS's Mathematics Subject Classification > 20 Group theory and generalizations
Depositing User: Dr Charles Eaton
Date Deposited: 25 Sep 2014
Last Modified: 08 Nov 2017 18:18

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