Algebras related to a class of 3-blocks of defect 2

Abstract

Motivated by a problem concerning the structure of certain 3-

blocks of defect 2 in finite groups we investigate a class of local algebras of

dimension 9 over a field of characteristic 3. In particular, we compute the

complexity of the unique simple module for any such algebra.

Keywords

• Block,defect,symmetric algebra,complexity

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