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

Author:

An Jianbei,O'Brien E. A.,Wilson R. A.

Abstract

AbstractThe 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.

Publisher

Wiley

Subject

Computational Theory and Mathematics,General Mathematics

Reference17 articles.

1. Weights for finite groups

2. Counting characters in blocks,II.9;Dade;Representation theory of finite groups (Columbus, OH, 1995)

3. THE ALPERIN AND DADE CONJECTURES FOR THE FISCHER SIMPLE GROUP Fi23

4. The Radical 2-Subgroups of the Sporadic Simple Groups J4, Co2, and Th

5. 5 Wilson A. , ‘ATLAS of finite group representations’, http://www.mat.bham.ac.uk/atlas.

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