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#### Rank and order of a finite group admitting a Frobenius-like group of automorphisms

(Springer, 2014-07-20)

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 kernel F/[F,F]. Suppose that a finite ...

#### Nilpotent length of a finite solvable group with a frobenius group of automorphisms

(Taylor & Francis, 2014-05-23)

We prove that a finite solvable group G admitting a Frobenius group FH of automorphisms of coprime order with kernel F and complement H such that [G, F] = G and C C G (F)(h) = 1 for all nonidentity elements h ∈ H, is of ...

#### Action of a Frobenius-likegroup

(Elsevier, 2014-03-15)

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[F,h]=F for all nonidentity elements h∈Hh∈H. We prove that any irreducible ...

#### 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 fixed-point free kernel

(De Gruyter, 2014-02)

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. We prove that any irreducible nontrivial ...

#### Erratum to action of a Frobenius-like group with fixed-point free kernel [J. Group Theory 17 (2014), 863–873]

(2014-03)

After the article “Action of a Frobenius-like group with fixed-point free kernel” (http://dx.doi.org/10.1515/jgt-2014-0016) went to online publication, the authors noticed that they had included the incorrect abstract. The ...