Alexander N. Skiba. On a question of L.a. Shemetkov concerning the intersection of F-maximal subgroups of finite groups

Natural Sciences / Mathematics / Algebra

Submitted on: May 24, 2012, 18:55:05

Description: We investigate the influence of the intersection of the F-maximal subgroups on the structure of a finite group. In particular, answering a question of L.A Shemetkov we give conditions under which a hereditary saturated formation F has a property that for any finite group G, the F-hypercentre of G coincides with the intersection of all F-maximal subgroups of G.

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