Browsing by Author "Ercan, Gülin"
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Action of a Frobeniuslike group with fixedpoint free kernel
Ercan, Gülin; Güloğlu, İsmail Şuayip (De Gruyter, 201402)We call a finite group Frobeniuslike if it has a nontrivial nilpotent normal subgroup F possessing a nontrivial complement H such that [F,h]=F for all nonidentity elements h ∈ H. We prove that any irreducible nontrivial ... 
Action of a frobeniuslike group with kernel having central derived subgroup
Ercan, Gülin; Güloğlu, İsmail Şuayip (World Scientific Publishing, 201609)A finite group FH is said to be Frobeniuslike 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 ... 
Action of a Frobeniuslikegroup
Güloğlu, İsmail Şuayip; Ercan, Gülin (Elsevier, 20140315)We call a finite group Frobeniuslike if it has a nontrivial nilpotent normal subgroup F possessing a nontrivial complement H such that [F,h]=F[F,h]=F for all nonidentity elements h∈Hh∈H. We prove that any irreducible ... 
Derived length of a Frobeniuslike kernel
Ercan, Gülin; Güloğlu, İsmail Şuayip; Khukhro, Evgeny (Elsevier, 20140815)A finite group FH is said to be Frobeniuslike if it has a nontrivial nilpotent normal subgroup F called kernel which has a nontrivial complement H such that FH/[F,F]FH/[F,F] is a Frobenius group with Frobenius kernel ... 
Erratum to action of a Frobeniuslike group with fixedpoint free kernel [J. Group Theory 17 (2014), 863–873]
Ercan, Gülin; Güloğlu, İsmail Şuayip (201403)After the article “Action of a Frobeniuslike group with fixedpoint free kernel” (https://dx.doi.org/10.1515/jgt20140016) went to online publication, the authors noticed that they had included the incorrect abstract. ... 
Finite groups admitting a dihedral group of automorphisms
Ercan, Gülin; Güloğlu, İsmail Şuayip (Lugansk National Taras Shevchenko University, 2017)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 CG(F)= 1. In the present paper we ... 
Fixed point free action on groups of odd order
Ercan, Gülin; Güloğlu, İsmail Şuayip (Elsevier, 20080701)Let A be a finite abelian group that acts fixed point freely on a finite (solvable) group G . Assume that G is odd and A is of squarefree exponent coprime to 6. We show that the Fitting length of G is bounded by the ... 
Fixedpoint free action of an abelian group of odd nonsquarefree exponent
Ercan, Gülin; Güloğlu, İsmail Şuayip; Sağdıçoğlu, Öznur Mut (Edinburgh Mathematical Society, 201102)Let A be a finite group acting fixedpoint freely on a finite (solvable) group G. A longstanding conjecture is that if (G, A) = 1, then the Fitting length of G is bounded by the length of the longest chain of subgroups ... 
Frobenius groups of automorphisms with almost fixed point free kernel
Ercan, Gülin; Güloğlu, İsmail Şuayip (Elsevier, 2019)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 CG(H) is of Fitting length n then the index of the nth Fitting subgroup Fn(G) ... 
Frobeniuslike groups as groups of automorphisms
Ercan, Gülin; Güloğlu, İsmail Şuayip; Khukhro, Evgeny (TÜBİTAK, 20141121)A finite group F H is said to be Frobeniuslike if it has a nontrivial nilpotent normal subgroup F with a nontrivial complement H such that F H/[F, F] is a Frobenius group with Frobenius kernel F/[F, F]. Such subgroups and ... 
A generalized fixed point free automorphism of prime power order
Ercan, Gülin; Güloğlu, İsmail Şuayip (World Scientific Publishing, 201206)Let G be a finite group and α be an automorphism of G of order pn for an odd prime p. Suppose that α acts fixed point freely on every αinvariant p′section of G, and acts trivially or exceptionally on every elementary ... 
A generalized fixedpointfree action
Güloğlu, İsmail Şuayip; Ercan, Gülin (World Scientific Publishing, 201305)In this paper we study the structure of a finite group G admitting a solvable group A of automorphisms of coprime order so that for any x ∈ CG(A) of prime order or of order 4, every conjugate of x in G is also contained ... 
Groups of automorphisms with TNIcentralizers
Ercan, Gülin; Güloğlu, İsmail Şuayip (Elsevier, 201803)A subgroup H of a finite group G is called a TNIsubgroup if NG(H)∩Hg=1 for any g∈G\NG(H). Let A be a group acting on G by automorphisms where CG(A) is a TNIsubgroup of G. We prove that G is solvable if and only if CG(A) ... 
The influence of Hughes type action
Ercan, Gülin; Güloğlu, İsmail Şuayip (Taylor & Francis, 2015)We call the action of an automorphism of a finite group G a Hughes type action if it is described by conditions on the orders of elements of GG. In the present paper we study the structure of finite group G admitting an ... 
Nilpotent length of a finite solvable group with a frobenius group of automorphisms
Ercan, Gülin; Güloğlu, İsmail Şuayip; Öğüt, Elif (Taylor & Francis, 20140523)We prove that a finite solvable group G admitting a Frobenius group FH of automorphisms of coprime order with kernel F and complement H such that [G, F] = G and C C G (F)(h) = 1 for all nonidentity elements h ∈ H, is of ... 
On abelian group actions with TNIcentralizers
Ercan, Gülin; Güloğlu, İsmail Şuayip (Taylor & Francis, 2019)A subgroup H of a group G is said to be a TNIsubgroup 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 TNIsubgroup of G. We prove that ... 
On the influence of fixed point free nilpotent automorphism groups
Ercan, Gülin; Güloğlu, İsmail Şuayip (Springer, 201712)A finite group FH is said to be Frobeniuslike if it has a nontrivial nilpotent normal subgroup F with a nontrivial complement H such that for all nonidentity elements . Let FH be a Frobeniuslike group with complement H ... 
Rank and order of a finite group admitting a Frobeniuslike group of automorphisms
Ercan, Gülin; Güloğlu, İsmail Şuayip; Khukhro, Evgeny (Springer, 20140720)A finite group FH is said to be Frobeniuslike if it has a nontrivial nilpotent normal subgroup F with a nontrivial complement H such that FH/[F,F] is a Frobenius group with Frobenius kernel F/[F,F]. Suppose that a finite ...