Real elements and p-nilpotence of finite groups
Date
2016
Version
Acceso abierto / Sarbide irekia
xmlui.dri2xhtml.METS-1.0.item-type
Artículo / Artikulua
Version
Versión publicada / Argitaratu den bertsioa
Project Identifier
ES/1PE/MTM2014-54707
Impact
Abstract
Our first main result proves that every element of order 4 of a Sylow 2-subgroup S of a minimal non-2-nilpotent group G, is a real element of S. This allows to give a character-free proof of a theorem due to Isaacs and Navarro (see [9, Theorem B]). As an application, the authors show a common extension of the p-nilpotence criteria proved in [3] and [9]. ...
[++]
Subject
Publisher
Aracne
Published in
Advances in Group Theory and Applications, 2016, 2, 25-30
Departament
Universidad Pública de Navarra. Departamento de Estadística, Informática y Matemáticas /
Nafarroako Unibertsitate Publikoa. Estatistika, Informatika eta Matematikak Saila /
Universidad Pública de Navarra / Nafarroako Unibertsitate Publikoa. InaMat - Institute for Advanced Materials
Publisher version
Sponsorship
The first and the second authors have been supported by the grant MTM2014-54707-C3-1-P from the Ministerio de Economía y Competitividad, Spain, and FEDER, European Union. The first author has been also supported by a project from the National Natural Science Foundation of China (NSFC, No. 11271085) and a project of Natural Science Foundation of Guangdong Province, China (No. 2015A030313791)
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