Nilpotent Blocks of Quasisimple Groups for the Prime Two |
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Authors: | Jianbei An Charles William Eaton |
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Affiliation: | 1. Department of Mathematics, University of Auckland, Auckland, New Zealand 2. School of Mathematics, University of Manchester, Manchester, UK
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Abstract: | We examine nilpotency amongst blocks of positive defect of the quasisimple groups for the prime 2. We show that every nilpotent block of a quasisimple group has abelian defect groups, and prove a conjecture of Puig concerning the recognition of nilpotent blocks in the case of quasisimple groups. Explicit characterisations of nilpotent blocks are given for the classical, alternating and sporadic simple groups. |
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