The Dehn function for Palindromic Sub-Group of $Aut(F_n)$

TL;DR

This paper proves that the Dehn function of the palindromic automorphism group of a free group is exponential, providing insights into its geometric and algebraic complexity.

Contribution

It establishes the exponential nature of the Dehn function for the palindromic automorphism group, a previously uncharacterized aspect of its geometric group theory.

Findings

Dehn function of $ ext{Pi}A(F_n)$ is exponential.

Provides new understanding of the group's geometric complexity.

Abstract

In this paper, we prove that the Dehn function of the palindromic automorphism group $\Pi A(F_n)$ is exponential.