G. Ercan

collaborators

4 papers

math.GR2019

Good action on a finite group

Gülin Ercan, İsmail Ş. Güloğlu, Enrico Jabara

Let $G$ and $A$ be finite groups with $A$ acting on $G$ by automorphisms. In this paper we introduce the concept of "good action"; namely we say the action of $A$ on $G$ is good, i…

math.GR2019

Commuting graph of $A$ -orbits

İsmail Ş. Güloğlu, Gülin Ercan

Let $A$ be a finite group acting by automorphisms on the finite group $G$ . We introduce the commuting graph $Γ (G, A)$ of this action and study some questions related to the structur…

math.GR2019

A short note on the noncoprime regular module problem

Gülin Ercan, İsmail Ş. Güloğlu

We consider a special configuration in which a finite group $A$ acts by automorphisms on the finite group $G$ , and the semidirect product $G A$ acts on the vector space $V$ by linea…

math.GR2019

Frobenius action on Carter subgroups

Gülin Ercan, İsmail Ş. Güloğlu

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

Good action on a finite group

Commuting graph of A-orbits

A short note on the noncoprime regular module problem

Frobenius action on Carter subgroups

Commuting graph of $A$ -orbits