Shashank Vikram Singh

collaborators

4 papers

math.GR2026

Determining $R$ -Rank in Semisimple Lie Groups via uniform approximate Lattice arising as Regular Model Sets

Arunava Mandal, Shashank Vikram Singh

Let $G$ be a linear semisimple Lie group without compact factors. We show that uniform approximate lattices $I^$ arising as regular model sets in $G$ determine the ambient group $G…

math.GR2025

On the $z$ -classes of Palindromic automorphisms of Free Groups

Krishnendu Gongopadhyay, Lokenath Kundu, Shashank Vikram Singh

The palindromic automorphism group is a subgroup of the automorphism group $A u t (F_{3}) .$ We establish a necessary and sufficient condition for a matrix in $G L_{n} (Z)$ represen…

math.GR2025

On rational and real elements in a class of Lie groups

Arunava Mandal, Shashank Vikram Singh

For a class of groups $G$ over a field $F$ , including certain Lie groups, Algebraic groups and finite groups, we develop a general method to determine rational and real el…

math.GR2025

On stable Cartan subgroups of Lie groups

Parteek Kumar, Arunava Mandal, Shashank Vikram Singh

Let $G$ be a connected real Lie group with associated Lie algebra $g$ , and let $Aut (G)$ be the group of (Lie) automorphisms of $G$ . It is noted here that, given a s…

Determining R-Rank in Semisimple Lie Groups via uniform approximate Lattice arising as Regular Model Sets

On the z-classes of Palindromic automorphisms of Free Groups

On rational and real elements in a class of Lie groups

On stable Cartan subgroups of Lie groups

Determining $R$ -Rank in Semisimple Lie Groups via uniform approximate Lattice arising as Regular Model Sets

On the $z$ -classes of Palindromic automorphisms of Free Groups