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

Abstract:

J. Chuang, R. Kessar, and J. 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 GLn(q) with defect group C x C, as q varies (see Theorem 2). Here p and q are coprime....

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1006/jabr.2001.8988

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
More from this funder
Name:
Engineering and Physical Sciences Research Council
Funding agency for:
Turner, W
Publisher:
Elsevier
Journal:
Journal of Algebra More from this journal
Volume:
247
Issue:
1
Pages:
244-267
Publication date:
2002-01-01
DOI:
ISSN:
0021-8693
UUID:
uuid:23cc6347-5fa4-47d3-b246-8646812a530b
Local pid:
pubs:12039
Source identifiers:
12039
Deposit date:
2012-12-19

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