İsmaı̇l Ş. Güloğlu

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20212023

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math.GR2023

Noncoprime action of a cyclic group

Gülin Ercan, İsmail Ş. Güloğlu

Let $A$ be a finite nilpotent group acting fixed point freely on the finite (solvable) group $G$ by automorphisms. It is conjectured that the nilpotent length of $G$ is bounded abo…

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…