Special Issue for Slavic Jablan; Guest Editors: L. H. Kauffman, R. Sazdanovic and S. LambropoulouNo Access

Monoid and group of pseudo braids

Valeriy G. Bardakov

Sobolev Institute of Mathematics, Novosibirsk State University, Novosibirsk 630090, Russia

Laboratory of Quantum Topology, Chelyabinsk State University, Chelyabinsk 454001, Russia

E-mail Address: bardakov@math.nsc.ru

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Slavik Jablan

The Mathematical Institute, 11000 Belgrade, Knez Mihailova 36, P. O. Box 367, Serbia

E-mail Address: sjablan@gmail.com

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, and

Hang Wang

School of Mathematical Sciences, University of Adelaide, Adelaide 5005, Australia

E-mail Address: hang.wang01@adelaide.edu.au

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https://doi.org/10.1142/S0218216516410029Cited by:5 (Source: Crossref)

Abstract

In this paper, we introduce pseudo braid monoids and show that, such a monoid is isomorphic to a singular braid monoid. We also prove an analogue of Markov’s Theorem for pseudo braids.

Keywords:

AMSC: 20F18, 20D15, 20E05

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