On centers of blocks with non-cyclic defect groups
classification
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keywords
defectboundgroupgroupsllzbnon-cyclicnotealgebraically
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In this short note we study the center ZB of a block B of a finite group over an algebraically closed field of prime characteristic through its Loewy length llZB. A result of Okuyama in 1981 gave an upper bound for llZB in terms of defect group of B. The purpose of this note is to improve this bound for non-cyclic defect groups.
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