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math.RT2016
Loewy lengths of centers of blocks
Burkhard Külshammer, Benjamin Sambale
Let B be a block of a finite group with respect to an algebraically closed field F of characteristic p>0. In a recent paper, Otokita gave an upper bound for the Loewy length LL(ZB)…
math.RT2012
Central idempotents of the bifree and left-free double Burnside ring
Robert Boltje, Burkhard Külshammer
We determine the blocks, i.e., the primitive central idempotents, of the bifree double Burnside ring and the left-free double Burnside ring $B^{\trl}(G,G)$, as well as t…
math.RT2011★ 1 cited
On 2-blocks with minimal nonabelian defect groups II
Charles Eaton, Burkhard Külshammer, Benjamin Sambale
We determine the structure of 2-blocks with minimal nonabelian defect groups, by making use of the classification of finite simple groups.