Zobrazeno 1 - 10
of 462
pro vyhledávání: '"20E07"'
Autor:
Chirvasitu, Alexandru
Let $\mathbb{U}$ be a Banach Lie group and $S\subseteq \mathbb{U}$ an ad-bounded subset thereof, in the sense that there is a uniform bound on the adjoint operators induced by elements of $S$ on the Lie algebra of $\mathbb{U}$. We prove that (1) $S$-
Externí odkaz:
http://arxiv.org/abs/2410.15204
Autor:
Bardakov, V. G., Iskra, A. L.
The class transposition group $CT(\mathbb{Z})$ was introduced by S. Kohl in 2010. It is a countable subgroup of the permutation group $Sym(\mathbb{Z})$ of the set of integers $\mathbb{Z}$. We study products of two class transpositions $CT(\mathbb{Z})
Externí odkaz:
http://arxiv.org/abs/2409.13341
In this paper, we prove that the Dehn function of the palindromic automorphism group $\Pi A(F_n)$ is exponential.
Comment: arXiv admin note: text overlap with arXiv:1011.1506 by other authors
Comment: arXiv admin note: text overlap with arXiv:1011.1506 by other authors
Externí odkaz:
http://arxiv.org/abs/2406.17409
We show that the Morse boundary exhibits interesting examples of both the existence and non-existence of Cannon-Thurston maps for normal subgroups, in contrast with the hyperbolic case.
Comment: 7 pages, arguments streamlined and minor edits, ac
Comment: 7 pages, arguments streamlined and minor edits, ac
Externí odkaz:
http://arxiv.org/abs/2405.17572
Autor:
Minasyan, Ashot, Valiunas, Motiejus
We investigate criteria ensuring that a one-relator group $G$ contains a right-angled Artin subgroup $A(\Gamma)$, corresponding to a finite graph $\Gamma$. In particular, we prove that if the positive submonoid $T(\Gamma)$, of $A(\Gamma)$, embeds int
Externí odkaz:
http://arxiv.org/abs/2404.15479
Autor:
Weidmann, Richard, Weller, Thomas
Carrier graphs of groups representing subgroups of a given relatively hyperbolic groups are introduced and a combination theorem for relatively quasi-convex subgroups is proven. Subsequently a theory of folds for such carrier graphs is introduced and
Externí odkaz:
http://arxiv.org/abs/2403.17686
In this note, we initiate the concept of Dehn functions for a family of finite groups. We investigate the Dehn function for some specific families of finite polycyclic groups. We also consider related notions of spherical Dehn function and mean Dehn
Externí odkaz:
http://arxiv.org/abs/2403.16096
We describe the block structure of finitely generated subgroups of branch groups with the so-called subgroup induction property, including the first Grigorchuk group $\mathcal{G}$ and the torsion GGS groups.
Comment: 31 pages, 3 figures
Comment: 31 pages, 3 figures
Externí odkaz:
http://arxiv.org/abs/2402.15496
Autor:
Francoeur, Dominik
A group $G$ is said to be intersection-saturated if for every strictly positive integer $n$ and every map $c\colon \mathcal{P}(\{1,\dots, n\})\setminus \emptyset \rightarrow \{0,1\}$, one can find subgroups $H_1,\dots, H_n\leq G$ such that for every
Externí odkaz:
http://arxiv.org/abs/2312.09954
Autor:
Zangurashvili, Dali
It is shown that a nontrivial normal subgroup $N$ of a group $G$ is a free factor of the $N$'s normal closure in the $G$'s free product with arbitrary nontrivial groups.
Externí odkaz:
http://arxiv.org/abs/2401.03335