Integral Euler characteristic of Out F_{11}

TL;DR

This paper computes the integral Euler characteristic of the outer automorphism group of a free group of rank 11, providing a specific numerical invariant for this mathematical object.

Contribution

It is the first to determine the integral Euler characteristic of Out F_{11}, advancing understanding of its topological and algebraic properties.

Findings

Euler characteristic of Out F_{11} is -1202

Provides data for understanding automorphism groups of free groups

Contributes to the broader study of group cohomology

Abstract

We show that the integral Euler characteristic of the outer automorphism group of the free group of rank 11 is -1202.