On the intersection of the -maximal subgroups and the generalized -hypercentre of a finite group

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• 作者：Wenbin Guo ; Alex ; er N. Skiba
• 关键词：20D10 ; 20D25
• 刊名：Journal of Algebra
• 出版年：2012
• 出版时间：15 September, 2012
• 年：2012
• 卷：366
• 期：Complete
• 页码：112-125
• 全文大小：225 K

文摘

Let be a class of groups. A chief factor of a group G is called -central in G provided . We write to denote the product of all normal subgroups of G whose G-chief factors of order divisible by at least one prime in ¦Ð are -central. We call the -hypercentre of G. A subgroup U of a group G is called -maximal in G provided that (a) , and (b) if and , then . In this paper we study the properties of the intersection of all -maximal subgroups of a finite group. In particular, we analyze the condition under which coincides with the intersection of all -maximal subgroups of G.