Open Access
January 2011 On a braid monoid analogue of a theorem of Tits
Takeo Fukushi
Author Affiliations +
SUT J. Math. 47(1): 45-53 (January 2011). DOI: 10.55937/sut/1314883691

Abstract

We extend a theorem of Tits about the fundamental groups of graphs of Coxeter groups to those of braid monoids. More precisely, we show that every self-homotopy of a word decomposes into self-homotopies each of which is inessential, a cube, a prism or a permutohedron.

Citation

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Takeo Fukushi. "On a braid monoid analogue of a theorem of Tits." SUT J. Math. 47 (1) 45 - 53, January 2011. https://doi.org/10.55937/sut/1314883691

Information

Received: 2 December 2010; Revised: 17 May 2011; Published: January 2011
First available in Project Euclid: 11 June 2022

Digital Object Identifier: 10.55937/sut/1314883691

Subjects:
Primary: 20F36
Secondary: 20F55

Keywords: Braid monoids , homotopies , permutohedra

Rights: Copyright © 2011 Tokyo University of Science

Vol.47 • No. 1 • January 2011
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