Matematik Bölümü
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Recent Submissions
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On abelian group actions with TNI-centralizers
(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
(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
(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
(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(−∞,∞)
(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
(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
(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
(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
(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
(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
(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
(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
(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
(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
(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
(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
(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
(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
(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
(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 ...