R. Shah

activity

20172020

collaborators

7 papers

math.GR2020

Dynamics of Actions of Automorphisms of Discrete Groups $G$ on Sub $_{G}$ and Applications to Lattices in Lie Groups

Rajdip Palit, Manoj B. Prajapati, Riddhi Shah

For a discrete group $G$ and the compact space Sub $_{G}$ of (closed) subgroups of $G$ endowed with the Chabauty topology, we study the dynamics of actions of automorphisms of $G$ on…

math.GR2020

The Structure of Cartan Subgroups in Lie Groups

Arunava Mandal, Riddhi Shah

We study properties and the structure of Cartan subgroups in a connected Lie group. We obtain a characterisation of Cartan subgroups which generalises Wüstner's structure theorem f…

math.DS2019

Distal Actions of Automorphisms of Nilpotent Groups $G$ on Sub_ $G$ and Applications to Lattices in Lie Groups

Rajdip Palit, Riddhi Shah

For a locally compact group $G$ , we study the distality of the action of automorphisms $T$ of $G$ on $Sub_{G}$ , the compact space of closed subgroups of $G$ endowed with the Ch…

math.DS2019

Expansive Actions of Automorphisms of Locally Compact Groups $G$ on $Sub_{G}$

Manoj B. Prajapati, Riddhi Shah

For a locally compact metrizable group $G$ , we consider the action of $Aut (G)$ on $Sub_{G}$ , the space of all closed subgroups of $G$ endowed with the Chabauty topology.…

math.DS2019

Distal Actions of Automorphisms of Lie Groups $G$ on $Su b_{G}$

Riddhi Shah, Alok Kumar Yadav

For a locally compact metrizable group $G$ , we study the action of $Aut (G)$ on $Su b_{G}$ , the set of closed subgroups of $G$ endowed with the Chabauty topology. Given an auto…

math.DS2018

Expansive Automorphisms on Locally Compact Groups

Riddh Shah

We show that any connected locally compact group which admits an expansive automorphism is nilpotent. We also show that for any locally compact group $G$ , $α \in Aut (G)$ is ex…

Dynamics of Actions of Automorphisms of Discrete Groups G on SubG​ and Applications to Lattices in Lie Groups

The Structure of Cartan Subgroups in Lie Groups

Distal Actions of Automorphisms of Nilpotent Groups G on Sub_G and Applications to Lattices in Lie Groups

Expansive Actions of Automorphisms of Locally Compact Groups G on SubG​

Distal Actions of Automorphisms of Lie Groups G on SubG​

Expansive Automorphisms on Locally Compact Groups

Dynamics of Actions of Automorphisms of Discrete Groups $G$ on Sub $_{G}$ and Applications to Lattices in Lie Groups

Distal Actions of Automorphisms of Nilpotent Groups $G$ on Sub_ $G$ and Applications to Lattices in Lie Groups

Expansive Actions of Automorphisms of Locally Compact Groups $G$ on $Sub_{G}$

Distal Actions of Automorphisms of Lie Groups $G$ on $Su b_{G}$