8 papers · 1 filter
Some special coprime actions and their consequence
Gülin Ercan, İsmail Ş. Güloğlu, M. Yasir Kızmaz +1
Let a group act on the group coprimely. Suppose that the order of the fixed point subgroup is not divisible by an arbitrary but fixed prime . In the present pap…
Extensions of several coprime results to good action case
Gülin Ercan, İsmail Ş. Güloğlu, Enrico Jabara
Let and be groups where acts on by automorphisms. We say "\textit{the action of on is good}" if the equality holds for any subgroup of…
Good action on a finite group
Gülin Ercan, İsmail Ş. Güloğlu, Enrico Jabara
Let and be finite groups with acting on by automorphisms. In this paper we introduce the concept of "good action"; namely we say the action of on is good, i…
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…
A short note on the noncoprime regular module problem
Gülin Ercan, İsmail Ş. Güloğlu
We consider a special configuration in which a finite group acts by automorphisms on the finite group , and the semidirect product acts on the vector space by linea…
Frobenius action on Carter subgroups
Gülin Ercan, İsmail Ş. Güloğlu
Let be a finite solvable group and be a subgroup of . Suppose that there exists an -invariant Carter subgroup of such that the semidirect product is…