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UGALY

Universal Groups Acting LocallY

4.1.3

7 July 2023

Khalil Hannouch
Email: khalil.hannouch@newcastle.edu.au
Homepage: https://www.newcastle.edu.au/profile/khalil-hannouch
Address:
Khalil Hannouch
The University of Newcastle
School of Information and Physical Sciences
University Drive
2308 Callaghan NSW
Australia

Stephan Tornier
Email: stephan.tornier@newcastle.edu.au
Homepage: https://www.newcastle.edu.au/profile/stephan-tornier
Address:
Stephan Tornier
The University of Newcastle
School of Information and Physical Sciences
University Drive
2308 Callaghan NSW
Australia

Abstract

UGALY (Universal Groups Acting LocallY) is a GAP package that provides methods to create, analyse and find local actions of generalised universal groups acting on locally finite regular trees, following Burger-Mozes and Tornier.

Copyright

UGALY is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version.

Acknowledgements

Section 4.6 is due to Tasman Fell. The second author owes thanks to Marc Burger and George Willis for their support and acknowledges contributions from the SNSF Doc.Mobility fellowship 172120 and the ARC Discovery Project DP120100996 to the development of an early version of this codebase. In its present form, the development of UGALY was made possible by the ARC Laureate Fellowship FL170100032 and the ARC DECRA Fellowship DE210100180. Finally, we owe thanks to Laurent Bartholdi for guiding us through a reviewing process that has resulted in substantial improvements, and to Max Horn for helping with a documentation issue.

Contents

1 Introduction
2 Preliminaries
3 Compatibility
4 Examples
5 Discreteness
References
Index

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