Creative Commons Attribution 3.0 Unported license (CC-BY 3.0)when quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.ICALP.2019.125
URN: urn:nbn:de:0030-drops-107019
URL: https://drops.dagstuhl.de/opus/volltexte/2019/10701/
Pin, Jean-Éric ; Reutenauer, Christophe
A Mahler's Theorem for Word Functions
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Abstract
Let p be a prime number and let G_p be the variety of all languages recognised by a finite p-group. We give a construction process of all G_p-preserving functions from a free monoid to a free group. Our result follows from a new noncommutative generalization of Mahler's theorem on interpolation series, a celebrated result of p-adic analysis.
BibTeX - Entry
@InProceedings{pin_et_al:LIPIcs:2019:10701,
author = {Jean-{\'E}ric Pin and Christophe Reutenauer},
title = {{A Mahler's Theorem for Word Functions}},
booktitle = {46th International Colloquium on Automata, Languages, and Programming (ICALP 2019)},
pages = {125:1--125:13},
series = {Leibniz International Proceedings in Informatics (LIPIcs)},
ISBN = {978-3-95977-109-2},
ISSN = {1868-8969},
year = {2019},
volume = {132},
editor = {Christel Baier and Ioannis Chatzigiannakis and Paola Flocchini and Stefano Leonardi},
publisher = {Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
address = {Dagstuhl, Germany},
URL = {http://drops.dagstuhl.de/opus/volltexte/2019/10701},
URN = {urn:nbn:de:0030-drops-107019},
doi = {10.4230/LIPIcs.ICALP.2019.125},
annote = {Keywords: group languages, interpolation series, pro-p metric, regularity preserving}
}
| Keywords: | group languages, interpolation series, pro-p metric, regularity preserving | |
| Seminar: | 46th International Colloquium on Automata, Languages, and Programming (ICALP 2019) | |
| Issue date: | 2019 | |
| Date of publication: | 04.07.2019 |
