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arxiv: 1512.09273 · v1 · pith:REY6GKBHnew · submitted 2015-12-31 · 🧮 math.GT

On Groups G_(n)² and Coxeter Groups

classification 🧮 math.GT
keywords groupcoxetergroupsbraidsdenotefreeisomorphicproduct
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In the present paper, we prove that the group $G_{n}^{2}$ of free $n$-strand braids is isomorphic to a subgroup of a semidirect product of some Coxeter group that we denote by $C(n,2)$ and the symmetric group $S_{n}$.

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