Nagoya Mathematical Journal 235 58-85 2019年9月 [査読有り]
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We give a lower bound of the Loewy length of the projective cover of the trivial module for the group algebra kG of a finite group G of Lie type defined over a finite field of odd characteristic p, where k is an arbitrary field of characteristic p...
Broue's abelian defect conjecture [Asterisque 181/182 (1990) 61-92. 6.2] predicts for a p-block of a finite group G with an abelian defect group P a derived equivalence between the block algebra and its Brauer correspondent. By a result of Rickard...