THE ALPERIN AND DADE CONJECTURES FOR THE SIMPLE CONWAY'S THIRD GROUP

Jianbei An

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.

Keywords

Math Review Classification
Primary 20C20, 20C34, 20C08

Last Updated
24/3/97

Length
17 pages

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