Saved in:
Bibliographic Details
Main Authors: Gongopadhyay, Krishnendu, Kundu, Lokenath, Singh, Shashank Vikram
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2411.15547
Tags: Add Tag
No Tags, Be the first to tag this record!
Table of Contents:
  • The palindromic automorphism group is a subgroup of the automorphism group $Aut(F_3).$ We establish a necessary and sufficient condition for a matrix in $GL_n(\mathbb{Z})$ representing a palindromic automorphism of $F_n.$ We prove that the number of the $z$-classes in $ΠA(F_n)$ is infinite. We further classify the conjugacy classes of the reducible palindromic automorphisms.