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