ON THE COMPOSITION OF THE PERRON-VANNIER REPRESENTATION AND THE NATURAL MAP $P_n \mapsto P_{2n}$

Mohamad N. Nasser, Mohammad N. Abdulrahim · International Journal of Apllied Mathematics · 2020

We study the composition of F.R. Cohen's map P n → P 2n with the Perron and Vannier representation, where P n is the pure braid group on n strings.We prove that the obtained representation of P n has one of its composition factors the inverse of the Gassner representation of the pure braid group.

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