On the reduced Lefschetz module and the centric p-radical subgroups II

• Autores: Masato Sawabe
• Localización: Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 73, Nº 1, 2006, págs. 126-140
• Idioma: inglés
• DOI: 10.1112/s0024610705022386
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• Resumen

  • 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.