We study the effects of imposing linear relations within modules matrices on average sizes kernels. The that we consider can be described combinatorially in terms partial colourings grids. cells these grids correspond to positions and each defining relation involves all a given colour. prove such arising from ‘admissible’ has no effect kernels over finite quotients discrete valuation rings. Thi...

We show that the conjugacy class of an eventually expanding continuous piecewise affine interval map is contained in a smooth codimension 1 submanifold of parameter space. In particular conjugacy classes have empty interior. This is based on a study of the relation between induced Markov maps and ergodic theoretical behavior. Dept. of Mathematics, Northwestern University, Evanston, IL 60208-273...

Starting from the first elementary canonical state model, the new simple state model of the thirdorder dynamical systems that belong to Class C is derived. A typical property of this new model is a very simple form of its partial transformation matrix in the conditions of linear topological conjugacy, which represents the unity matrix. Complete state equations and the corresponding integrator-b...

We analyze the structure of the frequency space Q(F ) of a nonabelian free group F = F (a1, . . . , ak) consisting of all shift-invariant Borel probability measures on ∂F and construct a natural action of Out(F ) on Q(F ). In particular we prove that for any outer automorphism φ of F the conjugacy distortion spectrum of φ, consisting of all numbers ||φ(w)||/||w||, where w is a nontrivial conjug...

We describe combinatorial techniques to determine the numbers of semisim-ple conjugacy classes and adjoint orbits with xed class of centralizers for simply connected nite groups of Lie type.

Conjugacy separability of any group of the class of one-relator groups given by the presentation a, b; a m , b n 1m, n > 1 is proven. The proof made used of theoretical combinatorial group methods, namely the structure of amalgamated free products and some properties of the subgroups and quotients of any group of the class of one-relator groups given above.

Generalizing results on spin character degrees, we determine for a given conjugacy class of odd type in the double cover of S n spin characters of S n which have the minimal 2-power on this class in their character value. Surprisingly, the Glaisher map plays an important r^ ole here.

Let L be a hyperbolic automorphism of T, d ≥ 3. We study the smooth conjugacy problem in a small C-neighborhood U of L. The main result establishes C regularity of the conjugacy between two Anosov systems with the same periodic eigenvalue data. We assume that these systems are C-close to an irreducible linear hyperbolic automorphism L with simple real spectrum and that they satisfy a natural tr...

‎Let $G$ be a finite group‎. ‎We say that an element $g$ in $G$ is a vanishing element if there exists some irreducible character $chi$ of $G$ such that $chi(g)=0$‎. ‎In this paper‎, ‎we classify groups whose set of vanishing elements is exactly a conjugacy class‎.

statement of problem: assessment of mandibular size and position is essential when planning a treatment strategy for patients with class ii malocclusion. purpose: this study was carried out to evaluate the mandibular size and position of 8-13 year-old children with class ii division 1 malocclusion whom were referred to the faculty of dentistry, shiraz university of medical sciences, iran. mater...