Dynamics of actions of automorphisms of discrete groups \(G\) on \(\mathrm{Sub}_G\) and applications to lattices in Lie groups
DOI10.4171/GGD/672MaRDI QIDQ2694831
Riddhi Shah, Manoj B. Prajapati, Rajdip Palit
Publication date: 4 April 2023
Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2010.12958
polycyclic groupsChabauty topologyspace of closed subgroupsdistal and expansive actions of automorphismslattices in connected Lie groups
Discrete subgroups of Lie groups (22E40) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The space of geometric limits of abelian subgroups of \(\mathrm{PSL}_2(\mathbb{C})\)
- Expansive automorphisms of totally disconnected, locally compact groups
- Distal actions and shifted convolution property
- Distral transformation groups
- On expansive homeomorphisms
- Expansive actions of automorphisms of locally compact groups \(G\) on \(\text{Sub}_G\)
- The Chabauty space of closed subgroups of the three-dimensional Heisenberg group
- The space of closed subgroups of \(\mathbb{R}^2\)
- Lectures on hyperbolic geometry
- The space of geometric limits of one-generator closed subgroups of \(\text{PSL}_{2}(\mathbb R)\)
- Nilpotent Lie groups and hyperbolic automorphisms
- Expansive automorphisms on locally compact groups
- Homogeneous spaces with finite invariant measure
- On some types of topological groups
- Orbits of Distal Actions on Locally Compact Groups
- The compact generation of closed subgroups of locally compact groups
- The space of closed subgroups of ℝnis stratified and simply connected
- Croissance polynomiale et périodes des fonctions harmoniques
- A lecture on invariant random subgroups
- Distal Actions of Automorphisms of Lie Groups G on SubG
- DISTALITY OF CERTAIN ACTIONS ON -ADIC SPHERES
- Distal Affine Transformation Groups
- The Structure of Distal Flows
- Shorter Notes: A Normal Subgroup of a Semisimple Lie Group is Closed
- Limite d'ensembles et géométrie des nombres
- Unstable Homeomorphisms
- DISTAL ACTIONS OF AUTOMORPHISMS OF NILPOTENT GROUPS G ON SUBG AND APPLICATIONS TO LATTICES IN LIE GROUPS
- Some properties of distal actions on locally compact groups
- Dynamical systems of algebraic origin
This page was built for publication: Dynamics of actions of automorphisms of discrete groups \(G\) on \(\mathrm{Sub}_G\) and applications to lattices in Lie groups