Journal article

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 GL_n(q) with defect group C_pα x C_pα, 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 n
(q) when = 3, α = 1, in a different way.

Publication status:: Published

Peer review status:: Peer reviewed

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APA Style

Turner, W. (2002). Equivalent Blocks of Finite General Linear Groups in Non-describing Characteristic. Journal of Algebra, 247(1), 244–267.

MLA Style

Turner, W. “Equivalent Blocks of Finite General Linear Groups in Non-Describing Characteristic.” Journal of Algebra, vol. 247, no. 1, Elsevier, 2002, pp. 244–67.

Chicago Style

Turner, W. 2002. “Equivalent Blocks of Finite General Linear Groups in Non-Describing Characteristic.” Journal of Algebra 247 (1): 244–67.
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Files:: 1-s2.0-S0021869301989884-main.pdf

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Publisher copy:: 10.1006/jabr.2001.8988

Authors

+ Turner, W More by this author

Institution:: University of Oxford
Division:: MPLS
Department:: Mathematical Institute
Role:: Author

+ Engineering and Physical Sciences Research Council More from this funder

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:: 10.1006/jabr.2001.8988
ISSN:: 0021-8693

UUID:: uuid:23cc6347-5fa4-47d3-b246-8646812a530b
Local pid:: pubs:12039
Source identifiers:: 12039
Deposit date:: 2012-12-19

Terms of use

Copyright holder:: Elsevier BV
Copyright date:: 2002
Notes:: Copyright 2002 Elsevier B.V. All rights reserved. Re-use of this article is permitted in accordance with the Terms and Conditions set out at http://www.elsevier.com/open-access/userlicense/1.0/

Licence:: Other

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