Gülı̇n Ercan

activity

20212023

collaborators

3 papers

math.GR2023

Nilpotent Residual of a Finite Group

Eliana Rodrigues, Emerson de Melo, Gülin Ercan

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

math.GR2022

Commuting graph of a group action with few edges

İsmail Ş. Güloğlu, Gülin Ercan

Let $A$ be a group acting by automorphisms on the group $G .$ \textit{The commuting graph $Γ (G, A)$ of $A$ -orbits} of this action is the simple graph with vertex set $\{x^{A} : 1\ne…

math.GR2021

Good action of a nilpotent group with regular orbits

Gülin Ercan, İsmail Ş. Güloğlu

Suppose that $A$ is a finite nilpotent group of odd order acting good in the sense of \cite{EGJ} on the group $G$ of odd order. Under some additional assumptions we prove that the…