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math.GR2011
Basic Questions on Artin-Tits groups
Eddy Godelle, Luis Paris
This paper is a short survey on four basic questions on Artin-Tits groups: the torsion, the center, the word problem, and the cohomology ( problem). It is also an opportuni…
math.GR2011
A simple algorithm for finding short sigma-definite representatives
Jean Fromentin, Luis Paris
We describe a new algorithm which for each braid returns a quasi-geodesic sigma-definite word representative, defined as a braid word in which the generator sigma_i with maximal in…