Abstract
On the F-hypercentral subgroups with the sylow tower property of finite groups
Highlights
Introduction and resultsThroughout this paper all groups are finite and G always denotes a finite group
Kaloujnine [1] and Hall [2] showed that if A stabilizes some chain of subgroups of G, A is nilpotent
Let InnG ≤ A be a group of automorphisms of G and F be the canonical local definition of a local formation F
Summary
Introduction and resultsThroughout this paper all groups are finite and G always denotes a finite group. Recall that AutG and InnG are the groups of all and inner automorphisms of G respectively. Let InnG ≤ A be a group of automorphisms of G and F be the canonical local definition of a local formation F. Series of hereditary saturated formations of groups that satisfy the Sylow tower property have been constructed (see, [12, 13, 14, 15]).
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