• On abelian group actions with TNI-centralizers 

  Ercan, Gülin; Güloğlu, İsmail Şuayip (Taylor & Francis, 2019)

  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 (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 C-G(H) is of Fitting length n then the index of the n-th Fitting subgroup F-n(G) ...

• Classification of finite groups according to their conjugacy class lengths 

  Foruzanfar, Zeinab; Güloğlu, İsmail Şuayip; Rezaei, Mehdi (Walter de Gruyter, 2019)

  In this paper, we classify all finite groups satisfying the following property: their conjugacy class lengths are set-wise relatively prime for any six distinct classes.

• On a class of nonself-adjoint multidimensional periodic Schrodinger operators 

  Veliev, Oktay (TÜBİTAK, 2019)

  We investigate the Schrodinger operator L(q) in L-2 (R-d) (d >= 1) with the complex-valued potential q that is periodic with respect to a lattice Q. Besides, it is assumed that the Fourier coefficients q(gamma) of q with ...

• On the spectrality and spectral expansion of the non-self-adjoint mathieu-hill operator in L2(−∞,∞) 

  Veliev, Oktay (American Institute of Mathematical Sciences, 2020)

  In this paper we investigate the non-self-adjoint operator H generated in L-2(-infinity, infinity) by the Mathieu-Hill equation with a complex-valued potential. We find a necessary and sufficient conditions on the potential ...

• Groups of automorphisms with TNI-centralizers 

  Ercan, Gülin; Güloğlu, İsmail Şuayip (Elsevier, 2018-03)

  A subgroup H of a finite group G is called a TNI-subgroup 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 TNI-subgroup of G. We prove that G is solvable if and only if CG(A) ...

• Finite groups whose character degree graphs coincide with their prime graphs 

  Erkoç, Temha; Yılmaztürk, Utku; Güloğlu, İsmil Şuayip (Springer, 2018-09)

  In the literature, there are several graphs related to a finite group G. Two of them are the character degree graph, denoted by ΔG), and the prime graph ΓG), In this paper we classify all finite groups whose character ...

• The spectrum of the Hamiltonian with a PT-symmetric Periodic Optical Potential 

  Veliev, Oktay A. (World Scientific, 2017)

  We give a complete description, provided with a mathematical proof, of the shape of the spectrum of the Hill operator with potential 4 cos2 x+4iV sin 2x, where V ∈ (0, ∞). We prove that the second critical point V2, after ...

• 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 C-G(F)= 1. In the present paper we ...

• On the spectral properties of the Schrodinger operator with a periodic PT-symmetric potential 

  Veliev, Oktay A. (World Scientific, 2017-05)

  In this paper, we investigate the spectrum and spectrality of the one-dimensional Schrodinger operator with a periodic PT-symmetric complex-valued potential.

• Essential spectral singularities and the spectral expansion for the hill operator 

  Veliev, Oktay A. (American Institute of Mathematical Sciences, 2017-11)

  In this paper we investigate the spectral expansion for the one-dimensional Schrodinger operator with a periodic complex-valued potential. For this we consider in detail the spectral singularities and introduce new concepts ...

• On the influence of fixed point free nilpotent automorphism groups 

  Ercan, Gülin; Güloğlu, İsmail Şuayip (Springer, 2017-12)

  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 ...

• On sharp asymptotic formulas for the Sturm-Liouville operator with a matrix potential 

  Şeref, Fulya; Veliev, Oktay A. (Springer, 2016-07)

  In this article we obtain the sharp asymptotic formulas for the eigenvalues and eigenfunctions of the non-self-adjoint operators generated by a system of the Sturm-Liouville equations with Dirichlet and Neumann boundary ...

• Action of a frobenius-like group with kernel having central derived subgroup 

  Ercan, Gülin; Güloğlu, İsmail Şuayip (World Scientific Publishing, 2016-09)

  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 ...

• α -metrically chebyshev conformal motions in Riemannian spaces 

  Uysal, Samiye Aynur; Laleoğlu, Özlem R. (Academic Publications, 2008-02)

  In this paper we introduced α-metrically Chebyshev nets in a Riemannian manifold with semi-symmetric metric connection. We also studied conformal motions with trajectories defined by the components of these nets in Riemannian ...

• Darboux function in a hypersurface of a Riemannian manifold with semi-symmetric metric connection 

  Özen Zengin, Füsun; Altay Demirbağ, Sezgin; Uysal, Samiye Aynur (Hikari, 2008-10)

  In 1970, Yano, [1], studied Riemannian manifolds which admit semisymmetric metric connections whose curvature tensors vanish (see also [2]). The properties of a Riemannian manifold admitting a semi-symmetric metric connection ...

• Non-self-adjoint sturm–liouville operators with matrix potentials 

  Veliev, Oktay A. (Pleiades Publishing, 2007)

  We obtain asymptotic formulas for non-self-adjoint operators generated by the Sturm–Liouville system and quasiperiodic boundary conditions. Using these asymptotic formulas, we obtain conditions on the potential for which ...

• On quasi-recurrent spaces with Ricci quarter-symmetric metric connection 

  Uysal, Samiye Aynur; Özkara Canfes, Elif; Dinç, Cemile Elvan (Hikari, 2006-01)

  In [3], Mishra and Pandey defined Ricci quarter-symmetric metric connection in Riemanian manifold. In [5],Uysal and Doğan defined D-recurrent spaces with semi-symmetric metric connection and constructed an example of these ...

• Perturbation theory for the periodic multidimensional Schrödinger Operator and the Bethe-Sommerfeld Conjecture 

  Veliev, Oktay A. (Hikari, 2007)

  In this paper we obtain asymptotic formulas of arbitrary order for the Bloch eigenvalue and the Bloch function of the periodic Schr¨odinger operatör −Δ + q(x), of arbitrary dimension, when corresponding quasimomentum lies ...

• On the basis property of the root functions of differential operators with matrix coefficients 

  Veliev, Oktay A. (Moscow State University, 2009)

  We obtain asymptotic formulas for eigenvalues and eigenfunctions of the operator generated by a system of ordinary differential equations with summable coefficients and periodic or antiperiodic boundary conditions. Then ...

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