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Communications in Algebra Volume 30, 2002 - Issue 3
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Original Articles

The Alperin and Dade Conjectures for the O'Nan and Rudivalis Simple Groups

Jianbei An Department of Mathematics, University of Auckland, Private Bag 92019, Auckland, New Zealand
&
E. A. O'brien Department of Mathematics, University of Auckland, Private Bag 92019, Auckland, New Zealand
Pages 1305-1348 | Received 01 Sep 2000, Published online: 26 Dec 2007
 
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Abstract

We classify the radical subgroups and chains of the O'Nan and Rudvalis simple groups O'N and Ru, and then verify the Alperin weight conjecture and the Dade final conjecture for the two groups.

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