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Articles 2131 - 2160 of 2595
Full-Text Articles in Mathematics
Commutators, Words, Conjugacy Classes And Character Methods, Aner Shalev
Commutators, Words, Conjugacy Classes And Character Methods, Aner Shalev
Turkish Journal of Mathematics
In this survey paper we show how character methods can be used to solve a wide range of seemingly unrelated problems. These include commutators, powers of conjugacy classes and related random walks, as well as word maps and Waring type problems. In particular we describe recent progress made on conjectures of Ore, of Thompson, and of Lulov and Pak. New open problems and conjectures are also stated.
Centralizers In Locally Finite Groups, Pavel Shumyatsky
Centralizers In Locally Finite Groups, Pavel Shumyatsky
Turkish Journal of Mathematics
The topic of the present paper is the following question. Let G be a locally finite group admitting an automorphism \phi of finite order such that the centralizer C_G(\phi) satisfies certain finiteness conditions. What impact does this have on the structure of the group G? Equivalently, one can ask the same question when \phi is an element of G. Sometimes the impact is quite strong and the paper is a survey of results illustrating this phenomenon. In particular, we concentrate on results where G is shown to have a large nilpotent or soluble subgroup. Naturally, in each case the result …
Hartley´S Theorem On Representations Of The General Linear Groups And Classical Groups, A. E. Zalesski
Hartley´S Theorem On Representations Of The General Linear Groups And Classical Groups, A. E. Zalesski
Turkish Journal of Mathematics
We suggest a new proof of Hartley's theorem on representations of the general linear groups GL_n(K) where K is a field. Let H be a subgroup of GL_n(K) and E the natural GL_n(K)-module. Suppose that the restriction E _H of E to H contains a regular KH-module. The theorem asserts that this is then true for an arbitrary GL_n(K)-module M provided dim M>1 and H is not of exponent 2. Our proof is based on the general facts of representation theory of algebraic groups. In addition, we provide partial generalizations of Hartley's theorem to other classical groups.
Black Box Groups, Şükrü Yalçinkaya
Black Box Groups, Şükrü Yalçinkaya
Turkish Journal of Mathematics
We propose a uniform approach for recognizing all black box groups of Lie type which is based on the analysis of the structure of the centralizers of involutions. Our approach can be viewed as a computational version of the classification of the finite simple groups. We present an algorithm which constructs a long root SL_2(q)-subgroup in a finite simple group of Lie type of odd characteristic, then we use the Aschbacher's ``Classical Involution Theorem'' as a model in the recognition algorithm and we construct all root SL_2(q)-subgroups corresponding to the nodes in the extended Dynkin diagram, that is, we construct …
On Dimension Of Modules, S. Karimzadeh, Reza Nekooei
On Dimension Of Modules, S. Karimzadeh, Reza Nekooei
Turkish Journal of Mathematics
In this paper we prove the lying over and going down theorems for modules. Finally, we apply the above theorems and prove some results on the dimension of a module and its submodule.
Some Curvature Tensors On A Trans-Sasakian Manifold, C. S. Bagewadi, --- Venkatesha
Some Curvature Tensors On A Trans-Sasakian Manifold, C. S. Bagewadi, --- Venkatesha
Turkish Journal of Mathematics
The object of the present paper is to study the geometry of trans-Sasakian manifold when it is projectively semi-symmetric, Weyl semi-symmetric and concircularly semi-symmetric.
Lightlike Hypersurfaces Of Semi-Euclidean Spaces Satisfying Curvature Conditions Of Semisymmetry Type, Bayram Şahi̇n
Lightlike Hypersurfaces Of Semi-Euclidean Spaces Satisfying Curvature Conditions Of Semisymmetry Type, Bayram Şahi̇n
Turkish Journal of Mathematics
In this paper, we investigate lightlike hypersurfaces which are semi-symmetric, Ricci semi-symmetric, parallel or semi-parallel in a semi-Euclidean space. We obtain that every screen conformal lightlike hypersurface of the Minkowski spacetime is semi-symmetric. For higher dimensions, we show that the semi-symmetry condition of a screen conformal lightlike hypersurface reduces to the semi-symmetry condition of a leaf of its screen distribution. We also obtain that semi-symmetric and Ricci semi-symmetric lightlike hypersurfaces are totally geodesic under certain conditions. Moreover, we show that there exist no non-totally geodesic parallel hypersurfaces in a Lorentzian space.
On P-Sasakian Manifolds Satisfying Certain Conditions On The Concircular Curvature Tensor, Ci̇han Özgür, Mukut Mani Tripathi
On P-Sasakian Manifolds Satisfying Certain Conditions On The Concircular Curvature Tensor, Ci̇han Özgür, Mukut Mani Tripathi
Turkish Journal of Mathematics
We classify P-Sasakian manifolds, which satisfy the conditions Z(\xi ,X) · Z = 0, Z(\xi ,X) · R = 0, R(\xi ,X) · Z = 0, Z(\xi ,X) · S = 0 and Z(\xi ,X) · C = 0.
Rayleigh Number In A Stability Problem For A Micropolar Fluid, Ioana Florica Dragomirescu
Rayleigh Number In A Stability Problem For A Micropolar Fluid, Ioana Florica Dragomirescu
Turkish Journal of Mathematics
Approximate numerical evaluations of the Rayleigh number are obtained for a stability problem of thermal convection in a heat-conducting micropolar fluid layer between two rigid boundaries [7]. The influences of all the physical parameters on the values of the Rayleigh number are studied. Also, approximate neutral curves and neutral surfaces are represented in various parameters spaces.
Extreme Points Of Certain Subsets Of Hermitian Elements In Banach Algebras, Gerd Herzog, Christoph Schmoeger
Extreme Points Of Certain Subsets Of Hermitian Elements In Banach Algebras, Gerd Herzog, Christoph Schmoeger
Turkish Journal of Mathematics
We consider the real Banach spaces H(A) of all hermitian elements of a complex Banach algebra A. We prove that if an even power of a \in N(A) is hermitian, then a is an extreme point of the unit ball of H(A) if and only if a^2 = 1. Moreover, if an odd power of a \in H(A) is hermitian and a is an extreme point of the unit ball of H(A), then a^3 = a.
Higher Order Generalization Of Positive Linear Operators Defined By A Class Of Borel Measures, Oktay Duman
Higher Order Generalization Of Positive Linear Operators Defined By A Class Of Borel Measures, Oktay Duman
Turkish Journal of Mathematics
In the present paper, we introduce a sequence of linear operators, which is a higher order generalization of positive linear operators defined by a class of Borel measures studied in [2]. Then, using the concept of A-statistical convergence we obtain some approximation results which are stronger than the aspects of the classical approximation theory.
Closure Of Minimal Extensions, M. El Hajoui, A. Miri
Closure Of Minimal Extensions, M. El Hajoui, A. Miri
Turkish Journal of Mathematics
Let R be a commutative ring with a unit and M an R-module. In this paper we give a comparison between the F-closure in M of an R-submodule having a minimal extension and the closure of this minimal extension for the same Gabriel topology defined on the ring R. If J(R) \in F we prove that both closures are the same. Moreover, if R is Artinian or semi-simple then the converse also holds.
The Generalized Hyers--Ulam--Rassias Stability Of A Cubic Functional Equation, Abbas Najati
The Generalized Hyers--Ulam--Rassias Stability Of A Cubic Functional Equation, Abbas Najati
Turkish Journal of Mathematics
In this paper, we obtain the general solution and the generalized Hyers--Ulam--Rassias stability for a cubic functional equation f(mx+y)+f(mx-y)=mf(x+y)+mf(x-y)+2(m^3-m)f(x) for a positive integer m \geq 1.
Lengths Of Subsets In Coxeter Groups, Sarah B. Hart, Peter J. Rowley
Lengths Of Subsets In Coxeter Groups, Sarah B. Hart, Peter J. Rowley
Turkish Journal of Mathematics
No abstract provided.
Barely Transitive Groups, Mahmut Kuzucuoğlu
Barely Transitive Groups, Mahmut Kuzucuoğlu
Turkish Journal of Mathematics
This is a survey article on barely transitive groups. It also involves some recent results in the case of a non-locally finite barely transitive group.
A Non-Linear Locally Finite Simple Group With A P-Group As Centralizer, U. Meierfrankenfeld
A Non-Linear Locally Finite Simple Group With A P-Group As Centralizer, U. Meierfrankenfeld
Turkish Journal of Mathematics
We show that there exists a non-linear, locally finite, simple group such that the centralizer of every non-trivial element is (locally solvable)-by-finite.
Linear Automorphism Groups Of Relatively Free Groups, A. Yu. Olshanskii
Linear Automorphism Groups Of Relatively Free Groups, A. Yu. Olshanskii
Turkish Journal of Mathematics
Let G be a free group in a variety of groups, but G is not absolutely free. We prove that the group of automorphisms Aut(G) is linear if and only if G is a finitely generated virtually nilpotent group.
Finitary Actions And Invariant Ideals, D. S. Passman
Finitary Actions And Invariant Ideals, D. S. Passman
Turkish Journal of Mathematics
Let K be a field and let G be a group. If G acts on an abelian group V, then it acts naturally on any group algebra K[V], and we are concerned with classifying the G-stable ideals of K[V]. In this paper, we consider a rather concrete situation. We take G to be an infinite locally finite simple group acting in a finitary manner on V. When G is a finitary version of a classical linear group, then we show that the augmentation ideal \omega K[G] is the unique proper G-stable ideal of K[V]. On the other hand, if G …
Relations Among Algebraic Models Of 1-Connected Homotopy 3-Types, Erdal Ulualan
Relations Among Algebraic Models Of 1-Connected Homotopy 3-Types, Erdal Ulualan
Turkish Journal of Mathematics
In this paper, we explore the relations among reduced cases of algebraic models for homotopy 3-types for groups such as braided crossed and quadratic modules and reduced simplicial groups with Moore complex of length 2.
An Example Of An Indecomposable Module Without Non-Zero Hollow Factor Modules, Christian Lomp
An Example Of An Indecomposable Module Without Non-Zero Hollow Factor Modules, Christian Lomp
Turkish Journal of Mathematics
A module M is called hollow-lifting if every submodule N of M such that M/N is hollow contains a direct summand D \subseteq N such that N/D is a small submodule of M/D. A module M is called lifting if such a direct summand D exists for every submodule N. We construct an indecomposable module M without non-zero hollow factor modules, showing that there are hollow-lifting modules which are not lifting. The existences of such modules had been left open in a recent work by N. Orhan, D. Keskin-Tütüncü and R. Tribak [2].
A Generalization Of Ankeny And Rivlin's Result On The Maximum Modulus Of Polynomials Not Vanishing In The Interior Of The Unit Circle, V. K. Jain
Turkish Journal of Mathematics
For an arbitrary entire function f(z), let M(f,r) = max_{ z =r} f(z) . For a polynomial p(z) of degree n, it is known that M(p,R) \leq R^n M(p,1), R > 1. By considering the polynomial p(z) with no zeros in z < 1, Ankeny and Rivlin obtained the refinement M(p,R) \leq {(R^n+1)/2}M(p,1), R > 1. By considering the polynomial p(z) with no zeros in z < k, (k \geq 1) and simultaneously thinking of s^{\rm th} derivative (0 \leq s < n) of the polynomial, we have obtained the generalization \begin{displaymath} M(p^{(s)},R) \leq \left\{\begin{array}{l} (1/2){\frac{d^s}{dR^s}(R^n + k^n)}(2/(1+k))^nM(p,1), R \geq k,\ (1/(R^s+k^s))[{\frac{d^s}{dx^s}(1+x^n)}_{x=1}]((R+k)/(1+k))^nM(p,1), 1 \leq R \leq k,\end{array}\right. of Ankeny and Rivlin's result.
Spectral Problems For Operator Pencils In Non-Separated Root Zones, Mahi̇r Hasanov
Spectral Problems For Operator Pencils In Non-Separated Root Zones, Mahi̇r Hasanov
Turkish Journal of Mathematics
Variational principles for real eigenvalues of self-adjoint operator pencils in non-separated root zones are studied.
On Graded Secondary Modules, Shahabaddin Ebrahimi Atani, F. Farzalipour
On Graded Secondary Modules, Shahabaddin Ebrahimi Atani, F. Farzalipour
Turkish Journal of Mathematics
Let G be a group with identity e, and let R be a G-graded commutative ring. Here we study the graded primary submodules of a G-graded R-module and examine when graded submodules of a graded representable module are graded representable. A number of results concerning of these class of submodules are given.
Potts Model With Two Competing Binary Interactions, Nasir Ganikhodjaev, Hasan Akin, Seyi̇t Temi̇r
Potts Model With Two Competing Binary Interactions, Nasir Ganikhodjaev, Hasan Akin, Seyi̇t Temi̇r
Turkish Journal of Mathematics
The Potts model on a Cayley tree in the presence of competing two binary interactions and magnetic field is considered. We exactly solve a problem of phase transitions for the model,namely we calculate critical surface such that there is a phase transition above it,and a single Gibbs state found elsewhere.
Locally Finite Simple Moufang Loops, J. I. Hall
Locally Finite Simple Moufang Loops, J. I. Hall
Turkish Journal of Mathematics
A Moufang loop is a binary system that satisfies a particular weak form of the associative law. Doro and Glauberman observed that there is a direct connection between simple Moufang loops and simple groups with triality. Using this correspondence, Liebeck proved that nonassociative finite simple Moufang loops arise from split octonion algebras over finite fields. We extend Liebeck's theorem to the case of locally finite simple Moufang loops.
Real Aspects Of The Moduli Space Of Genus Zero Stable Maps, Seongchun Kwon
Real Aspects Of The Moduli Space Of Genus Zero Stable Maps, Seongchun Kwon
Turkish Journal of Mathematics
We show that the moduli space of genus zero stable maps is a real projective variety if the target space is a smooth convex real projective variety. We show that evaluation maps, forgetful maps are real morphisms. We analyze the real part of the moduli space.
The Pitch And The Pseudo Angle Of Pitch Of A Closed Piece Of (K+1)-Dimensional Ruled Surface In R_\Nu^N, Ayşe Altin
The Pitch And The Pseudo Angle Of Pitch Of A Closed Piece Of (K+1)-Dimensional Ruled Surface In R_\Nu^N, Ayşe Altin
Turkish Journal of Mathematics
In this paper, we define the closed piece of ruled surface, the pitch and the pseudo angle of pitch of a closed piece of ruled surface and calculate these values in Minkowski space R_\nu^n= (R ^n,-\sum^{\nu}_{i=1}dx_i+\sum^n_{i=\nu+1}dx_i).
Second-Order Nonlinear Three Point Boundary-Value Problems On Time Scales, S. Gülşan Topal
Second-Order Nonlinear Three Point Boundary-Value Problems On Time Scales, S. Gülşan Topal
Turkish Journal of Mathematics
We consider a second order three point boundary value problem for dynamic equations on time scales and establish criteria for the existence of at least two positive solutions of an eigenvalue problem by an application of a fixed point theorem in cones. Existence result for non-eigenvalue problem is also given by the monotone method.
P-Elastica In The 3-Dimensional Lorentzian Space Forms, Nevi̇n Gürbüz
P-Elastica In The 3-Dimensional Lorentzian Space Forms, Nevi̇n Gürbüz
Turkish Journal of Mathematics
R Huang worked the p-elastic in a Riemannian manifold with constant sectional curvature [1]. In this work, we solve the Euler-Lagrange equation by quadrature and study the Frenet equation of the p-elastica by using the Killing field in the three dimensional Lorentzian space forms
Inequality For Ricci Curvature Of Slant Submanifolds In Cosymplectic Space Forms, Dae Won Yoon
Inequality For Ricci Curvature Of Slant Submanifolds In Cosymplectic Space Forms, Dae Won Yoon
Turkish Journal of Mathematics
In this article, we establish inequalities between the Ricci curvature and the squared mean curvature, and also between the k-Ricci curvature and the scalar curvature for a slant, semi-slant and bi-slant submanifold in a cosymplectic space form of constant \varphi-sectional curvature with arbitrary codimension.