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Words with intervening neighbours in infinite Coxeter groups are reduced
KTH, School of Computer Science and Communication (CSC).
2010 (English)In: The Electronic Journal of Combinatorics, ISSN 1077-8926, Vol. 17, no 1, N9- p.Article in journal (Refereed) Published
Abstract [en]

Consider a graph with vertex set S. A word in the alphabet S has the intervening neighbours property if any two occurrences of the same letter are separated by all its graph neighbours. For a Coxeter graph, words represent group elements. Speyer recently proved that words with the intervening neighbours property are reduced if the group is infinite and irreducible. We present a new and shorter proof using the root automaton for recognition of reduced words.

Place, publisher, year, edition, pages
2010. Vol. 17, no 1, N9- p.
Keyword [en]
ELEMENTS
National Category
Computer and Information Science
Identifiers
URN: urn:nbn:se:kth:diva-25019ISI: 000274067600003Scopus ID: 2-s2.0-77955652058OAI: oai:DiVA.org:kth-25019DiVA: diva2:355012
Note
QC 20101005Available from: 2010-10-05 Created: 2010-10-05 Last updated: 2011-01-24Bibliographically approved

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Eriksson, HenrikEriksson, Kimmo
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