Class-preserving automorphisms of universal hyperlinear groups

TL;DR

This paper investigates the automorphism structure of universal hyperlinear groups, revealing that class-preserving automorphisms form a subgroup of index 2 within all automorphisms.

Contribution

It establishes that the group of class-preserving automorphisms has index 2 in the full automorphism group of universal hyperlinear groups.

Findings

Class-preserving automorphisms form a subgroup of index 2

Universal hyperlinear groups have a specific automorphism structure

The automorphism group is partitioned into two distinct classes

Abstract

We show that the group of class-preserving automorphisms of a universal hyperlinear group has index 2 inside the group of all automorphisms.