20 papers
Reversibility and symmetry of affine toral automorphisms
Kuntal Banerjee, Anubrato Bhattacharyya, Krishnendu Gongopadhyay +1
We study reversibility and strong reversibility of affine automorphisms of the two-torus, written as . We de…
Kulkarni limit sets for cyclic quaternionic projective groups
Sandipan Dutta, Krishnendu Gongopadhyay, Rahul Mondal
We consider the natural action of the quaternionic projective linear group on the quaternionic projective space . We compu…
Algebraic characterization of reversibility in the quaternionic Möbius group
Krishnendu Gongopadhyay, Tejbir Lohan, Abhishek Mukherjee
An element of a group is called \emph{reversible} if it is conjugate to its inverse. While reversibility in the quaternionic Möbius group has traditio…
On the Product of Coninvolutory Affine Transformations
Sandipan Dutta, Krishnendu Gongopadhyay, Rahul Mondal
A complex matrix is called \emph{coninvolutory} if . In this paper, we study decompositions of affine transformations in $\mathrm{Aff}(n,\mathbb{C})=\mathrm{GL}(n,…
On the almost palindromic width of certain free constructions of groups
Krishnendu Gongopadhyay, Shrinit Singh
We provide a general structural criterion implying that a group has infinite -almost palindromic width. In particular, we prove that both HNN extensions and free products exhibi…
Combinatorial Structure of Inert and Ambiguous Classes in Modular Group
Debattam Das, Krishnendu Gongopadhyay, Khushi Mishra
We study inert, and ambiguous conjugacy classes in the modular group from a purely combinatorial perspective. Using word length in the free product rep…