"The Tits Conjecture and the Five String Braid Group"

Title: The Tits Conjecture and the Five String Braid Group

Authors: Carl Droms, Jacques Lewin and Herman Servatius

Reference: in Topology and Combinatorial Group Theory, Lecture Notes in Math. #1440, Springer-Verlag, 48--51, 1990.

Selected Figures

Standard generators for the braid group and pure braid group.
New generators for the pure braid group.

Abstract:

It has been conjectured by Jaques Tits that all relations satisfied by the squares of the generators in any Artin group are consequences of the relations of commutativity satisfied by the generators. In this article, we show that this conjecture is true for the 5-string braid group.

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