Results 81 to 90 of about 121,014 (235)

Expansion of normal subsets of odd‐order elements in finite groups

Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
Abstract Let G$G$ be a finite group and K$K$ a normal subset consisting of odd‐order elements. The rational closure of K$K$, denoted DK$\mathbf {D}_K$, is the set of elements x∈G$x \in G$ with the property that ⟨x⟩=⟨y⟩$\langle x \rangle = \langle y \rangle$ for some y$y$ in K$K$.
Chris Parker, Jack Saunders
wiley   +1 more source

On the ET0L subgroup membership problem in bounded automata groups

Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
Abstract We are interested in the subgroup membership problem in groups acting on rooted d$d$‐regular trees and a natural class of subgroups, the stabilisers of infinite rays emanating from the root. These rays, which can also be viewed as infinite words in the alphabet with d$d$ letters, form the boundary of the tree.
Alex Bishop, Daniele D'Angeli, Francesco Matucci, Tatiana Nagnibeda, Davide Perego, Emanuele Rodaro   +5 more
wiley   +1 more source

Traces of Hecke operators on Drinfeld modular forms for GL2(Fq[T])$\operatorname{GL}_2(\mathbb {F}_q[T])$

Mathematika, Volume 72, Issue 2, April 2026.
Abstract In this paper, we study traces of Hecke operators on Drinfeld modular forms of level 1 in the case A=Fq[T]$A = \mathbb {F}_q[T]$. We deduce closed‐form expressions for traces of Hecke operators corresponding to primes of degree at most 2 and provide algorithms for primes of higher degree.
Sjoerd de Vries
wiley   +1 more source

On θ-commutators and the corresponding non-commuting graphs

Open Mathematics, 2017
The θ-commutators of elements of a group with respect to an automorphism are introduced and their properties are investigated. Also, corresponding to θ-commutators, we define the θ-non-commuting graphs of groups and study their correlations with other ...
Shalchi S., Erfanian A., Farrokhi DG M.
doaj   +1 more source

Graph potentials and topological quantum field theories

Proceedings of the London Mathematical Society, Volume 132, Issue 4, April 2026.
Abstract We introduce a new functional equation in birational geometry, whose solutions can be used to construct two‐dimensional topological quantum field theories (2d TQFTs), infinite‐dimensional in many interesting examples. The solutions of the equation give rise to a hierarchy of graph potentials, which, in the simplest setup, are Laurent ...
Pieter Belmans, Sergey Galkin, Swarnava Mukhopadhyay   +2 more
wiley   +1 more source

Several remarks on Pascal automorphism and infinite ergodic theory [PDF]

, 2015
A. M. Vershik
openalex   +1 more source

On Some Properties of the Operator, Defined on Class of Analytic in the Half-Plane Functions

Nonlinear Analysis, 2004
In present paper the properties of the operator introduced by authors, which is defined on special class of n-normalized analytic in the half-plane functions are investigated. This operator is closely related with automorphism of a half-plane.
J. Kirjackis, E. G. Kiriyatzkii
doaj   +1 more source

Representation stability for homotopy automorphisms

, 2021
Erik Lindell, Bashar Saleh
openalex   +1 more source

Cosine and Sine Addition and Subtraction Law with an Automorphism

Annales Mathematicae Silesianae
Let S be a semigroup. Our main results are that we describe the complex-valued solutions of the following functional equations g(xσ(y))=g(x)g(y)+f(x)f(y),x,y∈S,f(xσ(y))=f(x)g(y)+f(y)g(x),x,y∈S,\matrix{ {g\left( {x\sigma \left( y \right)} \right) = g ...
Aserrar Youssef, Elqorachi Elhoucien
doaj   +1 more source

The Moduli Space of Principal G₂-Bundles and Automorphisms

Mathematics
Let X be a compact Riemann surface of genus g≥2 and M(G2) be the moduli space of polystable principal bundles over X, the structure group of which is the simple complex Lie group of exceptional type G2.
Álvaro Antón-Sancho
doaj   +1 more source