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The braid group and its presentation

The Faculty of Mathematics and Applied Physics, Rzeszow University of Technology, Al. Powstancow Warszawy 12, 35-959 Rzeszow, Poland

E-mail Address: dwajnryb@prz.edu.pl

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https://doi.org/10.1142/S0218216521500218Cited by:0 (Source: Crossref)

Abstract

In this paper, we recall the geometric definition of the braid group by Emil Artin and we give a complete, elementary geometric/topological proof of the standard presentation of the braid group on $n$ strings.

Keywords:

AMSC: 20F05, 20F36, 57M07

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