Results 71 to 80 of about 1,309 (212)
Probabilistic correlation functions of the Schwarzian field theory
Abstract We study correlation functions of the probabilistic Schwarzian field theory. We compute cross‐ratio correlation functions exactly in the case when the corresponding Wilson lines do not intersect, confirming predictions made in the physics literature via limit of the conformal bootstrap and the DOZZ formula.
Ilya Losev
wiley +1 more source
Involution products in Coxeter groups
For W a Coxeter group, let = {w ∈ W | w = xy where x, y ∈ W and x 2 = 1 = y 2}. It is well known that if W is finite then W = . Suppose that w ∈ . Then the minimum value of ℓ(x) + ℓ(y) – ℓ(w), where x, y ∈ W with w = xy and x 2 = 1 = y 2, is called
P. J. Rowley +6 more
core +1 more source
An extended definition of Anosov representation for relatively hyperbolic groups
Abstract We define a new family of discrete representations of relatively hyperbolic groups which unifies many existing definitions and examples of geometrically finite behavior in higher rank. The definition includes the relative Anosov representations defined by Kapovich–Leeb and Zhu, and Zhu–Zimmer, as well as holonomy representations of various ...
Theodore Weisman
wiley +1 more source
Groups with finitely many conjugacy classes and their automorphisms
We combine classical methods of combinatorial group theory with the theory of small cancellation over relatively hyperbolic groups to construct finitely generated torsion-free groups that have only finitely many classes of conjugate elements.
Minasyan, Ashot
core +1 more source
Applications for the groups S.U.T.(2,p) where p prime upper than 9
The problem of finding the cyclic decomposition (c.d.) for the groups ), where prime upper than 9 is determined in this work. Also, we compute the Artin characters (A.ch.) and Artin indicator (A.ind.) for the same groups, we obtain that after computing
Lemya abd alameer +3 more
doaj +1 more source
Hecke Groups, Dessins d'Enfants and the Archimedean Solids
Grothendieck's dessins d'enfants arise with ever-increasing frequency in many areas of 21st century mathematical physics. In this paper, we review the connections between dessins and the theory of Hecke groups. Focussing on the restricted class of highly
Yang-Hui eHe, Yang-Hui eHe, James eRead
doaj +1 more source
Combinatorial zeta functions counting triangles
Abstract In this paper, we compute special values of certain combinatorial zeta functions counting geodesic paths in the (n−1)$(n-1)$‐skeleton of a triangulation of an n$n$‐dimensional manifold. We show that they carry a topological meaning. As such, we recover the first Betti and L2$L^2$‐Betti numbers of compact manifolds, and the linking number of ...
Leo Benard +3 more
wiley +1 more source
Graph products of groups [PDF]
In the 1970's Baudisch introduced the idea of the semifree group, that is, a group in which the only relators are commutators of generators. Baudisch was mainly concerned with subgroup problems, employing length arguments on the elements of these groups.
Green, E.R, Green, Elisabeth Ruth
core
Twisted ambidexterity in equivariant homotopy theory
Abstract We develop the concept of twisted ambidexterity in a parametrized presentably symmetric monoidal ∞$\infty$‐category, which generalizes the notion of ambidexterity by Hopkins and Lurie and the Wirthmüller isomorphisms in equivariant stable homotopy theory, and is closely related to Costenoble–Waner duality.
Bastiaan Cnossen
wiley +1 more source
An inductive schema for computing conjugacy classes in permutation groups
An approach to computing the conjugacy classes of elements of large permutation groups is presented in detail, and a prototype implementation is described.
Greg Butler
core +1 more source

