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pro vyhledávání: '"secondary: 20f05"'
We prove that if $G_\phi=\langle F, t| t x t^{-1} =\phi(x), x\in F\rangle$ is the mapping torus group of an injective endomorphism $\phi: F\to F$ of a free group $F$ (of possibly infinite rank), then every two-generator subgroup $H$ of $G_\phi$ is ei
Externí odkaz:
http://arxiv.org/abs/2405.08985
Combinatorial Hantzsche-Wendt groups were introduced by W. Craig and P.A. Linnell. Every such a group $G_n$, where $n$ is a natural number, encodes the holonomy action of any $n+1$-dimensional Hantzsche-Wendt manifold. $G_2$ is the fundamental group
Externí odkaz:
http://arxiv.org/abs/2401.05141
Autor:
Garnier, Owen
In his proof of the K(pi,1) conjecture for complex reflection arrangements, Bessis defined Garside categories suitable for studying braid groups of centralizers of Springer regular elements in well-generated complex reflection groups. We provide a de
Externí odkaz:
http://arxiv.org/abs/2306.13022
Autor:
Balacheff, Florent, Pitsch, Wolfgang
Consider a finite connected $2$-complex $X$ endowed with a piecewise Riemannian metric and whose fundamental group is freely indecomposable, of rank at least $3$, and in which every $2$-generated subgroup is free. In this paper we show that we can al
Externí odkaz:
http://arxiv.org/abs/2304.10924
A correspondence, by way of Heegaard splittings, between closed oriented 3-manifolds and pairs of surjections from a surface group to a free group has been studied by Stallings, Jaco, and Hempel. This correspondence, by way of trisections, was recent
Externí odkaz:
http://arxiv.org/abs/2301.05685
Autor:
Ligouras Panagiote
Publikováno v:
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, Vol 32, Iss 1, Pp 183-200 (2024)
Let n, m ∈ ℕ, n ≥ 3 and n ≥ m ≥ 2. In this paper, we study some properties of the unrestricted virtual singular braid of braid monoid UVSBmn and group UVSGmn. These properties emerged by studying the analogous properties of the unrestricted
Externí odkaz:
https://doaj.org/article/425c0fd6556145babf9515640144d962
Autor:
Imoto, Nao, Kobayashi, Ryoma
The level $2$ mapping class group of an orientable closed surface can be generated by squares of Dehn twists about non-separating curves. On the other hand, the level $2$ mapping class group $\mathcal{M}_2(N_g)$ of a non-orientable closed surface $N_
Externí odkaz:
http://arxiv.org/abs/2108.13633
Autor:
Dandan, Yang, Gould, Victoria
Graph products of monoids provide a common framework for direct and free products, and graph monoids (also known as free partially commutative monoids). If the monoids in question are groups, then any graph product is, of course, a group. For monoids
Externí odkaz:
http://arxiv.org/abs/2102.06409
Publikováno v:
Algebraic structures and their applications, 2021
In this article, we study connections between components of the Cayley graph $\mathrm{Cay}(G,A)$, where $A$ is an arbitrary subset of a group $G$, and cosets of the subgroup of $G$ generated by $A$. In particular, we show how to construct generating
Externí odkaz:
http://arxiv.org/abs/2009.05922
Let $VB_n$, resp. $WB_n$ denote the virtual, resp. welded, braid group on $n$ strands. We study their commutator subgroups $VB_n' = [VB_n, VB_n]$ and, $WB_n' = [WB_n, WB_n]$ respectively. We obtain a set of generators and defining relations for these
Externí odkaz:
http://arxiv.org/abs/1802.01383