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DOI: 10.4230/LIPIcs.ICALP.2018.131
URN: urn:nbn:de:0030-drops-91359
URL: https://drops.dagstuhl.de/opus/volltexte/2018/9135/
Klimann, Ines
To Infinity and Beyond
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Abstract
We prove that if a group generated by a bireversible Mealy automaton contains an element of infinite order, then it must have exponential growth. As a direct consequence, no infinite virtually nilpotent group can be generated by a bireversible Mealy automaton.
BibTeX - Entry
@InProceedings{klimann:LIPIcs:2018:9135,
author = {Ines Klimann},
title = {{To Infinity and Beyond}},
booktitle = {45th International Colloquium on Automata, Languages, and Programming (ICALP 2018)},
pages = {131:1--131:12},
series = {Leibniz International Proceedings in Informatics (LIPIcs)},
ISBN = {978-3-95977-076-7},
ISSN = {1868-8969},
year = {2018},
volume = {107},
editor = {Ioannis Chatzigiannakis and Christos Kaklamanis and D{\'a}niel Marx and Donald Sannella},
publisher = {Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
address = {Dagstuhl, Germany},
URL = {http://drops.dagstuhl.de/opus/volltexte/2018/9135},
URN = {urn:nbn:de:0030-drops-91359},
doi = {10.4230/LIPIcs.ICALP.2018.131},
annote = {Keywords: automaton groups, growth of a group, exponential growth}
}
| Keywords: | automaton groups, growth of a group, exponential growth | |
| Seminar: | 45th International Colloquium on Automata, Languages, and Programming (ICALP 2018) | |
| Issue date: | 2018 | |
| Date of publication: | 04.07.2018 |
