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
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
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