Lokenath Kundu

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20202025

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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.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(\…

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

Linear fractional group as Galois group

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

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