Zobrazeno 1 - 10
of 1 345
pro vyhledávání: '"20E08"'
Autor:
Garrido, Alejandra, Reid, Colin D.
In this article we give sufficient conditions for a group to have simple derived subgroup; the argument is based on generalising properties observed for extremely proximal micro-supported actions on the Cantor space, and generalises previous results
Externí odkaz:
http://arxiv.org/abs/2412.18891
Autor:
Mutanguha, Jean Pierre
A free-by-cyclic group can often be viewed as a mapping torus of a free group automorphism (monodromy) in multiple ways. What dynamical properties must these monodromies share, and to what extent are they invariant under quasi-isometries? We give a n
Externí odkaz:
http://arxiv.org/abs/2412.16150
Autor:
Bargagnati, Giuseppe, Bogliolo, Elena
We prove the vanishing of bounded cohomology of the groups acting on trees with almost prescribed local actions $G(F, F')$, where $F
Externí odkaz:
http://arxiv.org/abs/2412.15463
Autor:
Bishop, Alex, D'Angeli, Daniele, Matucci, Francesco, Nagnibeda, Tatiana, Perego, Davide, Rodaro, Emanuele
We are interested in the generalised word problem (aka subgroup membership problem) for stabiliser subgroups of groups acting on rooted $d$-regular trees. Stabilisers of infinite rays in the tree are not finitely generated in general, and so the prob
Externí odkaz:
http://arxiv.org/abs/2412.08433
Autor:
Fariña-Asategui, Jorge
We introduce the concept of cyclicity and hypercyclicity in self-similar groups as an analogue of cyclic and hypercyclic vectors for an operator on a Banach space. We derive a sufficient condition for cyclicity of non-finitary automorphisms in contra
Externí odkaz:
http://arxiv.org/abs/2411.11806
Autor:
Bontemps, Sasha
In this article, we study the space of subgroups of generalized Baumslag-Solitar groups (GBS groups), that is, groups acting cocompactly on an oriented tree without inversion and with infinite cyclic vertex and edge stabilizers. Our results generaliz
Externí odkaz:
http://arxiv.org/abs/2411.03221
We continue our study of the perfect kernel of the space of transitive actions of Baumslag-Solitar groups by investigating high transitivity. We show that actions of finite phenotype are never highly transitive, except when the phenotype is 1, in whi
Externí odkaz:
http://arxiv.org/abs/2410.23224
Autor:
Livramento, Karina, Noseda, Francesco
We exhibit infinite lists of ramification indices $\delta$ for which the classical Lie groups over the ring of integers of $p$-adic fields admit a faithful self-similar action on a regular rooted $\delta$-ary tree in such a way that the action is tra
Externí odkaz:
http://arxiv.org/abs/2410.22639
Autor:
Jones, Oli
Given a connected large-type Artin group $A_\Gamma$, we introduce a deformation space $\mathcal{D}$. If $\Gamma$ is triangle-free, or has all labels at least 6, we show that this space is canonical, in that it depends only on the isomorphism type of
Externí odkaz:
http://arxiv.org/abs/2410.17129
We study the maximal subgroups of branch groups and obtain a criterion that ensures that certain spinal groups are contained in the class $\mathcal{MF}$ of groups with all maximal subgroups of finite index. This allows us to construct branch groups w
Externí odkaz:
http://arxiv.org/abs/2410.06783