ON THE COMPOSITION OF THE PERRON-VANNIER
REPRESENTATION AND THE NATURAL MAP $P_n \mapsto P_{2n}$
Mohamad N. Nasser1, Mohammad N. Abdulrahim2
1,2 Department of Mathematics and Computer Science
Beirut Arab University
P.O. Box 11-5020, Beirut, LEBANON

Abstract

We study the composition of F.R. Cohen's map $P_n \mapsto P_{2n}$ 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.

Citation details of the article



Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 33
Issue: 1
Year: 2020

DOI: 10.12732/ijam.v33i1.10

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