The Hattori-Stallings rank, the Euler-Poincar\'e characteristic and zeta functions of totally disconnected locally compact groups
I Castellano, G Chinello, T Weigel - arXiv preprint arXiv:2405.08105, 2024 - arxiv.org
For a unimodular totally disconnected locally compact group $ G $ we introduce and study
an analogue of the Hattori-Stallings rank $\tilde {\rho}(P)\in\mathbf {h} _G $ for a finitely …
an analogue of the Hattori-Stallings rank $\tilde {\rho}(P)\in\mathbf {h} _G $ for a finitely …
Subgroups of word hyperbolic groups in rational dimension 2
S Arora, E Martínez-Pedroza - Groups, Geometry, and Dynamics, 2020 - ems.press
A result of Gersten states that if G is a hyperbolic group with integral cohomological
dimension cdZ. G/D 2 then every finitely presented subgroup is hyperbolic. We generalize …
dimension cdZ. G/D 2 then every finitely presented subgroup is hyperbolic. We generalize …
Topological groups with a compact open subgroup, relative hyperbolicity and coherence
S Arora, E Martínez-Pedroza - Journal of Algebra, 2023 - Elsevier
The main objects of study in this article are pairs (G, H) where G is a topological group with a
compact open subgroup, and H is a finite collection of open subgroups. We develop …
compact open subgroup, and H is a finite collection of open subgroups. We develop …
An Introduction to Totally Disconnected Locally Compact Groups and Their Finiteness Conditions
I Castellano - Modern Trends in Algebra and Representation Theory, 2023 - cambridge.org
The class of locally compact groups generalises discrete and Lie groups. Locally compact
groups came to light in the first half of the 20th century, and since then they have played a …
groups came to light in the first half of the 20th century, and since then they have played a …
Bowditch Taut Spectrum and dimensions of groups
E Martínez-Pedroza, LJS Saldaña - Michigan Mathematical …, 2024 - projecteuclid.org
For a finitely generated group G, let H (G) denote Bowditch's taut loop length spectrum. We
prove that if G=(A∗ B)/⟨⟨ R⟩⟩ is a C′(1/12) small cancellation quotient of a the free …
prove that if G=(A∗ B)/⟨⟨ R⟩⟩ is a C′(1/12) small cancellation quotient of a the free …
On compactness properties of subgroups
S Arora - 2022 - research.library.mun.ca
The class of locally compact groups has been widely studied in group theory, representation
theory, and harmonic analysis. There is a current program of extending geometric …
theory, and harmonic analysis. There is a current program of extending geometric …
[PDF][PDF] An introduction to totally disconnected locally compact groups
I Castellano - 2020 - icms.org.uk
These are notes of the expository lectures that will be delivered for the LMS Autumn Algebra
School, 21-25 September 2020. The aim is to introduce beginning Ph. D. students to the …
School, 21-25 September 2020. The aim is to introduce beginning Ph. D. students to the …