3 papers
math.GR2023
Noncoprime action of a cyclic group
Gülin Ercan, İsmail Ş. Güloğlu
Let be a finite nilpotent group acting fixed point freely on the finite (solvable) group by automorphisms. It is conjectured that the nilpotent length of is bounded abo…
math.GR2019
Commuting graph of -orbits
İsmail Ş. Güloğlu, Gülin Ercan
Let be a finite group acting by automorphisms on the finite group . We introduce the commuting graph of this action and study some questions related to the structur…
math.GR2018
Frobenius groups of automorphisms with almost fixed point free kernel
Gülin Ercan, İsmail Ş. Güloğlu
Let be a Frobenius group with kernel and complement , acting coprimely on the finite solvable group by automorphisms. We prove that if is of Fitting leng…