Krishnendu Gongopadhyay

activity

20052026

most citedPalindromic Automorphisms of Free Groups

10 citations · 55 across the 60 of their papers we have counts for

collaborators

Showing 2017Show all

5 papers · 1 filter

math.GT2017

Quaternionic Hyperbolic Fenchel-Nielsen Coordinates

Krishnendu Gongopadhyay, Sagar B. Kalane

Let $S p (2, 1)$ be the isometry group of the quaternionic hyperbolic plane $H_{H}^{2}$ . An element $g$ in $S p (2, 1)$ is `hyperbolic' if it fixes exactly two points on th…

math.GT2017

Test map and Discreteness in SL(2, $H$ )

Krishnendu Gongopadhyay, Abhishek Mukherjee, Sujit Kumar Sardar

Let SL(2, $H$ ) be the group of $2 \times 2$ quaternionic matrices $A = (a c b d)$ with quaternionic determinant $det A = ∣ a d - a c a^{- 1} b ∣ = 1$ .…

math.GT2017

Conjugation Orbits of Loxodromic Pairs in SU(n,1)

Krishnendu Gongopadhyay, Shiv Parsad

Let $H_{C}^{n}$ be the $n$ -dimensional complex hyperbolic space and $SU (n, 1)$ be the (holomorphic) isometry group. An element $g$ in $SU (n, 1)$ is called lox…

math.GT2017

Commutator Subgroups of Welded Braid Groups

Soumya Dey, Krishnendu Gongopadhyay

Let $W B_{n}$ be the welded (or loop) braid group on n strands, $n \geq 3$ . We investigate commutator subgroup of $W B_{n}$ . We prove that the commutator subgroup $W B_{n}^{'}$ is finitely gen…

math.RA2017

Conjugate Real Classes in General Linear Groups

Krishnendu Gongopadhyay, Sudip Mazumder, Sujit Kumar Sardar

Let $\F$ be a field with a non-trivial involution $c : α \to α^{c}$ . An element $g \in {\rm GL}_n(\F)$ is called $c$ -real if it is conjugate to $(g^{c})^{- 1}$ . We prove that for $n \geq…

Quaternionic Hyperbolic Fenchel-Nielsen Coordinates

Test map and Discreteness in SL(2, H)

Conjugation Orbits of Loxodromic Pairs in SU(n,1)

Commutator Subgroups of Welded Braid Groups

Conjugate Real Classes in General Linear Groups

Test map and Discreteness in SL(2, $H$ )