On Groups $G_{n}^{2}$ and Coxeter Groups

Vassily Olegovich Manturov

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arXiv · 1512.09273

On Groups $G_{n}^{2}$ and Coxeter Groups

Vassily Olegovich Manturov

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Abstract

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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BibTeX RIS

Vassily Olegovich Manturov. 2015-12-31. On Groups $G_{n}^{2}$ and Coxeter Groups. https://arxiv.org/abs/1512.09273

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