Browsing by Author "Güloğlu, İsmail Şuayip"
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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 ... 
A combinatorial discussion on finite dimensional leavitt path algebras
Koç, Ayten; Esin, Songül; Güloğlu, İsmail Şuayip; Kanuni, Müge (Hacettepe Üniversitesi, 2014)Any finite dimensional semisimple algebra A over a field K is isomorphic to a direct sum of finite dimensional full matrix rings over suitable division rings. We shall consider the direct sum of finite dimensional full ... 
A combinatorial discussion on ﬁnite edimensional Leavitt path algebras
Koç, Ayten; Esin, Songül; Güloğlu, İsmail Şuayip; Kanuni, Müge (Hacettepe University, 2014)Any finite dimensional semisimple algebra A over a field K is isomorphic to a direct sum of finite dimensional full matrix rings over suitable division rings. We shall consider the direct sum of finite dimensional full ... 
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” (http://dx.doi.org/10.1515/jgt20140016) went to online publication, the authors noticed that they had included the incorrect abstract. The ... 
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 ... 
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 ... 
Generalized catalan numbers, sequences and polynomials
Koç, Cemal; Güloğlu, İsmail Şuayip; Esin, Songül (TÜBİTAK, 2010)In this paper we present an algebraic interpretation for generalized Catalan numbers. We describe them as dimensions of certain subspaces of multilinear polynomials. This description is of utmost importance in the investigation ... 
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 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 ... 
Prof. Dr. Cemal Koç’un anısına armağan
Güloğlu, İsmail Şuayip (Doğuş Üniversitesi, 20100715)1943 yılında Bulgaristan, Kırcaali’de dünyaya gelen Cemal Koç. İlköğretimini Samsun’da 1953, Tokat İlk Öğretmen okulunu da, okul üçüncüsü olarak 1959 yılında tamamlayan Cemal Koç Ankara Yüksek Öğretmen okuluna aynı yıl ... 
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 ...