Results 11 to 20 of about 16,147,605 (261)

Equations in virtually class 2 nilpotent groups [PDF]

Groups, Complexity, Cryptology, 2022
We give an algorithm that decides whether a single equation in a group that is virtually a class $2$ nilpotent group with a virtually cyclic commutator subgroup, such as the Heisenberg group, admits a solution.
Alex Levine
doaj   +1 more source

On Conformal Measures and Harmonic Functions for Group Extensions [PDF]

New Trends in One-Dimensional Dynamics, 2017
We prove a Perron-Frobenius-Ruelle theorem for group extensions of topological Markov chains based on a construction of \(\sigma \)-finite conformal measures and give applications to the construction of harmonic functions.
M. Stadlbauer
semanticscholar   +1 more source

Polynomial composites and certain types of fields extensions

Karpatsʹkì Matematičnì Publìkacìï, 2023
In this paper, we consider polynomial composites with the coefficients from $K\subset L$. We already know many properties, but we do not know the answer to the question of whether there is a relationship between composites and field extensions.
Ł. Matysiak
doaj   +1 more source

On finite state automaton actions of HNN extensions of free abelian groups

Karpatsʹkì Matematičnì Publìkacìï, 2021
HNN extensions of free abelian groups are considered. For arbitrary prime $p$ it is introduced a class of such extensions that act by finite automaton permutations over an alphabet $ \mathsf{X} $ of cardinality $p$ and belong to $p$-Sylow subgroup of the
V. Prokhorchuk
doaj   +1 more source

The co‐surface graph and the geometry of hyperbolic free group extensions [PDF]

, 2016
We introduce the co‐surface graph CS of a finitely generated free group F and use it to study the geometry of hyperbolic group extensions of F . Among other things, we show that the Gromov boundary of the co‐surface graph is equivariantly homeomorphic to
S. Dowdall, Samuel J. Taylor
semanticscholar   +1 more source

Cannon–Thurston maps for hyperbolic free group extensions [PDF]

Israel Journal of Mathematics, 2015
This paper gives a detailed analysis of the Cannon–Thurston maps associated to a general class of hyperbolic free group extensions. Let F denote a free group of finite rank at least 3 and consider a convex cocompact subgroup Γ ≤ Out(F), i.e.
S. Dowdall, Ilya Kapovich, Samuel J. Taylor   +2 more
semanticscholar   +1 more source

Finite group extensions of shifts of finite type: $K$ -theory, Parry and Livšic [PDF]

Ergodic Theory and Dynamical Systems, 2015
This paper extends and applies algebraic invariants and constructions for mixing finite group extensions of shifts of finite type. For a finite abelian group $G$ , Parry showed how to define a $G$ -extension $S_{A}$ from a square matrix over $\mathbb{Z}_{
Mike M. Boyle, S. Schmieding
semanticscholar   +1 more source

Symmetries from outer automorphisms and unorthodox group extensions [PDF]

Journal of Physics A: Mathematical and Theoretical
Symmetries play an essential role in the construction and phenomenology of quantum field theories (QFTs). We discuss how to construct symmetries of QFTs by extending minimal ‘seed’ symmetry groups to larger groups that contain the seed(s) as subgroup(s).
Christian Döring, A. Trautner
semanticscholar   +1 more source

Admitting a coarse embedding is not preserved under group extensions [PDF]

, 2016
We construct a finitely generated group which is an extension of two finitely generated groups coarsely embeddable into Hilbert space but which itself does not coarsely embed into Hilbert space. Our construction also provides a new infinite monster group:
G. Arzhantseva, R. Tessera
semanticscholar   +1 more source

Transgressive loop group extensions [PDF]

, 2015
A central extension of the loop group of a Lie group is called transgressive, if it corresponds under transgression to a degree four class in the cohomology of the classifying space of the Lie group. Transgressive loop group extensions are those that can
K. Waldorf
semanticscholar   +1 more source