DISTAL ACTIONS OF AUTOMORPHISMS OF NILPOTENT GROUPS G ON SUBG AND APPLICATIONS TO LATTICES IN LIE GROUPS

DOI10.1017/S0017089520000221zbMath1484.22008arXiv1912.01446WikidataQ115336590 ScholiaQ115336590MaRDI QIDQ5858953

Riddhi Shah, Rajdip Palit

Publication date: 15 April 2021

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.01446

Mathematics Subject Classification ID

Automorphism groups of locally compact groups (22D45) Discrete subgroups of Lie groups (22E40) Nilpotent and solvable Lie groups (22E25) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)

Related Items

Distal Actions of Automorphisms of Lie Groups G on Sub_G ⋮ Dynamics of actions of automorphisms of discrete groups \(G\) on \(\mathrm{Sub}_G\) and applications to lattices in Lie groups

Cites Work

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• Dynamics of flat actions on totally disconnected, locally compact groups
• The space of geometric limits of abelian subgroups of \(\mathrm{PSL}_2(\mathbb{C})\)
• Distal actions and shifted convolution property
• Distral transformation groups
• Convolution roots and embeddings of probability measures on locally compact groups
• The Chabauty space of closed subgroups of the three-dimensional Heisenberg group
• On the structure of groups with polynomial growth
• The space of closed subgroups of \(\mathbb{R}^2\)
• Lectures on hyperbolic geometry
• The space of geometric limits of one-generator closed subgroups of \(\text{PSL}_{2}(\mathbb R)\)
• On the growth of \(L^2\)-invariants for sequences of lattices in Lie groups
• The Choquet-Deny theorem and distal properties of totally disconnected locally compact groups of polynomial growth
• Contraction groups, ergodicity, and distal properties of automorphisms of compact groups
• Growth of connected locally compact groups
• Locally compact groups
• On some types of topological groups
• Orbits of Distal Actions on Locally Compact Groups
• ON THE STRUCTURE OF GROUPS WITH POLYNOMIAL GROWTH II
• Distal automorphism groups of Lie groups.
• Distal affine transformation groups.
• A distal property of groups and the growth of connected locally compact groups
• Totally disconnected, nilpotent, locally compact groups
• DISTALITY OF CERTAIN ACTIONS ON -ADIC SPHERES
• Introduction to Arithmetic Groups
• Distal Affine Transformation Groups
• The Structure of Distal Flows
• Limite d'ensembles et géométrie des nombres
• The Automorphism Group of a Lie Group
• Topologies for Homeomorphism Groups
• Some properties of distal actions on locally compact groups

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