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.