Lokenath Kundu

activity

20202025

collaborators

7 papers

math.GT2025

Equidistant Hypersurfaces Of The Complex Bidisk $H_{C}^{2} \times H_{C}^{2}$

Krishnendu Gongopadhyay, Lokenath Kundu, Aditya Tiwari

We consider the isometries of the complex hyperbolic bidisk, that is, the product space $H_{C}^{2} \times H_{C}^{2}$ , where each factor $ \mathbb{H…

math.GR2024

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.GR2024

The Dehn function for Palindromic Sub-Group of $A u t (F_{n})$

Krishnendu Gongopadhyay, Lokenath Kundu

In this paper, we prove that the Dehn function of the palindromic automorphism group $Π A (F_{n})$ is exponential.

math.GR2024

On Dehn functions for family of polycyclic groups

Krishnendu Gongopadhyay, Lokenath Kundu

In this note, we initiate the concept of Dehn functions for a family of finite groups. We investigate the Dehn function for some specific families of finite polycyclic groups. We a…

math.CO2022

Symmetry of surfaces for linear fractional group

Lokenath Kundu, Kaustav Mukherjee

We will compute the stable upper genus for the family of finite non-abelian simple groups $P S L_{2} (F_{p})$ for $p \equiv 3 (m o d 4)$ . This classification is well-grounded in th…

math.CO2021

Growth of family of finite simple groups

Lokenath Kundu

We consider the growth of an infinite family of finite groups. We are motivated by the remarkable contribution of Bass, Wolf, Milnor, Gromov, Grigorchuk on the word growth and stru…

math.GR2020

Linear fractional group as Galois group

Lokenath Kundu

We compute all signatures of $P S L_{2} (F_{7})$ , and $P S L_{2} (F_{11})$ which classify all orientation preserving actions of the groups $P S L_{2} (F_{7})$ , and $PSL_2(\…

Equidistant Hypersurfaces Of The Complex Bidisk HC2​×HC2​

On the z-classes of Palindromic automorphisms of Free Groups

The Dehn function for Palindromic Sub-Group of Aut(Fn​)

On Dehn functions for family of polycyclic groups

Symmetry of surfaces for linear fractional group

Growth of family of finite simple groups

Linear fractional group as Galois group

Equidistant Hypersurfaces Of The Complex Bidisk $H_{C}^{2} \times H_{C}^{2}$

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

The Dehn function for Palindromic Sub-Group of $A u t (F_{n})$