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ON THE REDUCED LEFSCHETZ MODULE AND THE CENTRIC p-RADICAL SUBGROUPS II

Published online by Cambridge University Press:  22 February 2006

MASATO SAWABE
MASATO SAWABE
Affiliation:
Department of Mathematics, Naruto University of Education, Naruto, Tokushima 772-8502, Japansawabe@naruto-u.ac.jp
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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.

Keywords

20J0520D30
Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 73 , Issue 1 , February 2006 , pp. 126 - 140
Copyright
The London Mathematical Society 2006

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Footnotes

Supported in part by Grant-in-Aid for Young Scientists (B) 16740020, the Ministry of Education, Culture, Sports, Science and Technology, Japan