We call a finite group Frobenius-like if it has a nontrivial nilpotent normal subgroup F
possessing a nontrivial complement H such that [F, h]= F for all nonidentity elements h∈ H …

A finite group FH is said to be Frobenius-like if it has a nontrivial nilpotent normal subgroup F
with a nontrivial complement H such that FH/[F, F] is a Frobenius group with Frobenius …

A finite group FH is said to be Frobenius-like if it has a nontrivial nilpotent normal subgroup F
with a nontrivial complement H such that FH/[F, F] is a Frobenius group with Frobenius …

A finite group FH is said to be Frobenius-like if it has a nontrivial nilpotent normal subgroup F
called kernel which has a nontrivial complement H such that FH/[F, F] is a Frobenius group …

Let F be a nilpotent group acted on by a group H via automorphisms and let the group G
admit the semidirect product FH as a group of automorphisms so that CG (F)= 1. We prove …

A finite group FH is said to be Frobenius-like if it has a nontrivial nilpotent normal subgroup F
with a nontrivial complement H such that [F, h]= F for all nonidentity elements h∈ H …

Let be a group of prime order that acts on the-group, let be the semidirect product of with, let
be a field and be a faithful completely reducible-module. Trivially, acts on. Let be the kernel …

Let a group A act on the group G coprimely. Suppose that the order of the fixed point
subgroup CG (A) is not divisible by an arbitrary but fixed prime p. In the present paper we …

Let D=〈 α, β〉 be a dihedral group generated by the involutions α and β and let F=〈 αβ〉.
Suppose that D acts on a finite group G by automorphisms in such a way that CG (F)= 1. In …

Let G be a finite solvable group and H be a subgroup of Aut (G). Suppose that there exists
an H-invariant Carter subgroup F of G such that the semidirect product FH is a Frobenius …