# On the virtual automorphism group of a minimal flow

## TL;DR

This paper introduces the concepts of virtual automorphism groups and semi-regular flows in minimal dynamical systems, exploring their properties and relationships to actual automorphism groups.

## Contribution

It defines new notions in the study of minimal flows and investigates their connections to classical automorphism groups.

## Key findings

- Virtual automorphism groups are distinct from actual automorphism groups.
- Semi-regular flows exhibit specific automorphism properties.
- The relationship between virtual and actual automorphism groups is characterized.

## Abstract

We introduce the notions "virtual automorphism group" of a minimal flow and "semi-regular flow" and investigate the relationship between the virtual and actual group of automorphisms.