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The Alperin Weight Conjecture and Dade's Conjecture for the Simple Group J4

Published online by Cambridge University Press:  01 February 2010

Jianbei An ,
E. A. O'Brien  and
R. A. Wilson
Jianbei An
Affiliation:
Department of Mathematics, University of Auckland, Auckland, New [email protected]
E. A. O'Brien
Affiliation:
Department of Mathematics, University of Auckland, Auckland, New [email protected]
R. A. Wilson
Affiliation:
Department of Mathematics, The University of Birmingham, Birmingham B15 [email protected]

Abstract

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The authors construct faithful permutation representations of maximal 2-local subgroups and classify the radical chains of the Janko simple group J4; hence the Alperin weight conjecture and the Dade reductive conjecture for J4 are verified.

Type
Research Article
Information
LMS Journal of Computation and Mathematics , Volume 6 , 2003 , pp. 119 - 140
Copyright
Copyright © London Mathematical Society 2003

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