Обобщенно модулярные и пермутируемые подгруппы конечных групп и некоторые их приложения

Abstract

A subgroup H of a group G is called m-supplemented in G if there exists a subgroup K of G such that G=HK and H ∩ K ≤ Hm G. A subgroup H of a group G is called permuteral (strong permuteral) in G if PG(H)=G (PU(H)=U when H ≤ U ≤ G). Based on these concepts groups with m-supplemented and permuteral (strong permuteral) subgroups were studied.