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 …

Let M= FH be a finite group that is a product of a normal abelian subgroup F and an abelian
subgroup H. Assume that all elements in M∖ F have prime order p, and F has at most one …

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 …

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= FF, h= F for all nonidentity elements h ∈ H …

Let P be a p-group of maximal class and M be a maximal subgroup of P. Let α be an element
in P∖ M such that| CP (α)|= p 2, and assume that| α|= p. Suppose that P acts on a finite group …

Let R be a cyclic group of prime order which acts on the extraspecial group F in such a way
that F=[F, R]. Suppose RF acts on a group G so that CG (F)= 1 and (| R|,| G|)= 1. It is proved …

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 …