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The Alperin and dade conjectures for the simple Conway’s third group

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Abstract

This paper is part of a program to study Alperin’s weight conjecture and Dade’s conjecture on counting ordinary characters in blocks for several finite groups. The classifications of radical subgroups and certain radical chains and their local structures of the simple Conway’s third group have been obtained by using the computer algebra system CAYLEY. The Alperin weight conjecture and the Dade final conjecture have been confirmed for the group.

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Authors and Affiliations

  1. Department of Mathematics, University of Auckland, Auckland, New Zealand

    Jianbei An

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  1. Jianbei An
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Correspondence to Jianbei An.

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An, J. The Alperin and dade conjectures for the simple Conway’s third group. Isr. J. Math. 112, 109–134 (1999). https://doi.org/10.1007/BF02773479

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  • DOI: https://doi.org/10.1007/BF02773479

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