Nilpotent blocks of quasisimple groups for odd primes

Jianbei An; Charles W. Eaton

doi:10.1515/CRELLE.2011.046

Nilpotent blocks of quasisimple groups for odd primes

Jianbei An, Charles W. Eaton

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Abstract

We investigate the nilpotent blocks of positive defect of the quasisimple groups for odd primes. In particular, it is shown that every nilpotent block of a quasisimple group has abelian defect groups. A conjecture of Puig concerning the recognition of nilpotent blocks is also shown for these groups © 2011 Walter de Gruyter Berlin New York.

Original language	English
Pages (from-to)	131-177
Number of pages	46
Journal	Journal Fur Die Reine Und Angewandte Mathematik
Issue number	656
DOIs	https://doi.org/10.1515/CRELLE.2011.046
Publication status	Published - Jul 2011

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abstract = "We investigate the nilpotent blocks of positive defect of the quasisimple groups for odd primes. In particular, it is shown that every nilpotent block of a quasisimple group has abelian defect groups. A conjecture of Puig concerning the recognition of nilpotent blocks is also shown for these groups {\textcopyright} 2011 Walter de Gruyter Berlin New York.",

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AB - We investigate the nilpotent blocks of positive defect of the quasisimple groups for odd primes. In particular, it is shown that every nilpotent block of a quasisimple group has abelian defect groups. A conjecture of Puig concerning the recognition of nilpotent blocks is also shown for these groups © 2011 Walter de Gruyter Berlin New York.

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Nilpotent blocks of quasisimple groups for odd primes

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