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

Authors : Burkhard Külshammer, Pierre LANDROCK, Stephanie REİNHARDT

Pages : 1-24

Doi:10.24330/ieja.373631

View : 32 | Download : 8

Publication Date : 2018-01-11

Article Type : Research Paper

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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