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#### Derived length of a Frobenius-like kernel

(Elsevier, 2014-08-15)

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]FH/[F,F] is a Frobenius group with Frobenius kernel ...

#### Frobenius-like groups as groups of automorphisms

(TÜBİTAK, 2014-11-21)

A finite group F H 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, F] is a Frobenius group with Frobenius kernel F/[F, F]. Such subgroups
and ...

#### Action of a frobenius-like group with kernel having central derived subgroup

(World Scientific Publishing, 2016-09)

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 is an element of H. Suppose that a finite ...

#### On the influence of fixed point free nilpotent automorphism groups

(Springer, 2017-12)

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 for all nonidentity elements . Let FH be a Frobenius-like group with complement H ...

#### Finite groups admitting a dihedral group of automorphisms

(Lugansk National Taras Shevchenko University, 2017)

Let D = alpha, beta be a dihedral group generated by the involutions alpha and beta and let F = alpha beta). Suppose that D acts on a finite group G by automorphisms in such a way that C-G(F)= 1. In the present paper we ...