6 papers · 1 filter
Quasiisometry invariance of relatively hyperbolic TDLC groups
Arunava Mandal, Ravi Tomar
Motivated by the work of Druţu--Sapir, we introduce a definition of relatively hyperbolic TDLC groups that depends only on their Cayley-Abels graphs and show that this new definiti…
Determining -Rank in Semisimple Lie Groups via uniform approximate Lattice arising as Regular Model Sets
Arunava Mandal, Shashank Vikram Singh
Let be a linear semisimple Lie group without compact factors. We show that uniform approximate lattices arising as regular model sets in determine the ambient group …
Combination of locally quasiconvex hyperbolic TDLC groups and Cannon-Thurston maps
Swarnali Datta, Arunava Mandal, Ravi Tomar
In this article, we study acylindrical graphs of groups, local quasiconvexity, and Cannon-Thurston maps in the setting of totally disconnected locally compact (TDLC) hyperbolic gro…
On real and rational elements in a class of Lie groups
Arunava Mandal, Shashank Vikram Singh
For a class of groups over a field , including certain Lie groups, Algebraic groups and finite groups, we provide a general method to determine real and rational el…
On combination theorems and Bowditch boundaries of relatively hyperbolic TDLC groups
Swarnali Datta, Arunava Mandal, Ravi Tomar
Based on the work of Farb, Bowditch, and Groves-Manning on discrete relatively hyperbolic groups, we introduce an approach to relative hyperbolicity for totally disconnected locall…
On stable Cartan subgroups of Lie groups
Parteek Kumar, Arunava Mandal, Shashank Vikram Singh
Let be a connected real Lie group with associated Lie algebra , and let be the group of (Lie) automorphisms of . It is noted here that, given a s…