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Equivalent Blocks of Finite General Linear Groups in Non-describing Characteristic

✍ Scribed by W. Turner

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 182 KB
Volume: 247
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.2001.8988

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✦ Synopsis

Rickard have proved Broué's Abelian defect group conjecture for many symmetric groups. We adapt the ideas of Kessar and Chuang towards finite general linear groups (represented over non-describing characteristic). We then describe Morita equivalences between certain p-blocks of GL n q with defect group C p α × C p α , as q varies (see Theorem 2). Here p and q are coprime. This generalizes work of S. Koshitani and M. Hyoue, who proved the same result for principal blocks of GL n q when p = 3, α = 1, in a different way.

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