ON THE REDUCED LEFSCHETZ MODULE AND THE CENTRIC p-RADICAL SUBGROUPS II
Published online by Cambridge University Press: 22 February 2006
Abstract
In this paper, we give a lower bound of the p-part of the reduced Euler characteristic of the order complex of the centric p-radical subgroups by studying vertices of indecomposable summands of the reduced Lefschetz module. This bound is in fact best possible for at least some groups, and also provides a uniform explanation of the observed phenomenon on the reduced Euler characteristic for some sporadic simple groups.
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- The London Mathematical Society 2006
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