Hostname: page-component-586b7cd67f-g8jcs Total loading time: 0 Render date: 2024-11-23T05:30:12.875Z Has data issue: false hasContentIssue false
  • English
  • Français

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, [email protected]
Get access

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Footnotes

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