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Gülin Ercan
E-mail
ercan@metu.edu.tr
Department
Department of Mathematics
Scopus Author ID
6603255029
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Good action on a finite group
Ercan, Gülin; GÜLOĞLU, İSMAİL ŞUAYİP; Jabara, Enrico (Elsevier BV, 2020-10-01)
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, if H = [H, B]C-H (B) for every subgroup B of A and ever...
Frobenius action on Carter subgroups
Ercan, Gülin; GÜLOĞLU, İSMAİL ŞUAYİP (World Scientific Pub Co Pte Lt, 2020-08-01)
Let G he a finite solvable group and H be a subgroup of Aut(G). Suppose that there exists an H-invariant Carter subgroup F of G such that the semidirect product FH is a Frobenius group with kernel F and complement H. We pr...
On abelian group actions with TNI-centralizers
Ercan, Gülin; Guloglu, Ismail S. (2019-07-03)
A subgroup H of a group G is said to be a TNI-subgroup if for any Let A be an abelian group acting coprimely on the finite group G by automorphisms in such a way that for all is a solvable TNI-subgroup of G. We prove that ...
Frobenius groups of automorphisms with almost fixed point free kernel
Ercan, Gülin; Güloğlu, İsmail Şuayip (2019-03-01)
Let FH be a Frobenius group with kernel F and complement H, acting coprimely on the finite solvable group G by automorphisms. We prove that if C-G(H) is of Fitting length n then the index of the n-th Fitting subgroup F-n(G...
Groups of automorphisms with TNI-centralizers
Ercan, Gülin; Güloğlu, İsmail Şuayip (2018-03-15)
A subgroup H of a finite group G is called a TNI-subgroup if N-G(H) boolean AND H-9 = 1 for any g is an element of G \ N-G (H). Let A be a group acting on G by automorphisms where C-G(A) is a TNI-subgroup of G. We prove th...
On the influence of fixed point free nilpotent automorphism groups
Ercan, Gülin; Güloğlu, İsmail Şuayip (2017-12-01)
A finite group FH is said to be Frobenius-like if it has a nontrivial nilpotent normal subgroup F with a nontrivial complement H such that for all nonidentity elements . Let FH be a Frobenius-like group with complement H o...
Finite groups admitting a dihedral group of automorphisms
Ercan, Gülin; Güloğlu, İsmail Şuayip (2017-01-01)
Let D = alpha, beta be a dihedral group generated by the involutions alpha and beta and let F = alpha beta). Suppose that D acts on a finite group G by automorphisms in such a way that C-G(F)= 1. In the present paper we p...
Action of a Frobenius-like group with kernel having central derived subgroup
Ercan, Gülin; Güloğlu, İsmail Şuayip (2016-09-01)
A finite group FH is said to be Frobenius-like if it has a nontrivial nilpotent normal subgroup F with a nontrivial complement H such that [F, h] = F for all nonidentity elements h is an element of H. Suppose that a finite...
Finite groups having centralizer commutator product property
Ercan, Gülin (2015-12-01)
Let a be an automorphism of a finite group G and assume that G = {[g, alpha] : g is an element of G} . C-G(alpha). We prove that the order of the subgroup [G, alpha] is bounded above by n(log2(n+1)) where n is the index of...
Fixed Point Free Action
Ercan, Gülin (2015-05-03)
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