Unrestricted virtual braids, fused links and other quotients of virtual braid groups-Reference-Cited by-同舟云学术

Unrestricted virtual braids, fused links and other quotients of virtual braid groups

Published:2015-10 Issue:12 Volume:24 Page:1550063
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

Bardakov Valeriy G.¹²,Bellingeri Paolo³,Damiani Celeste³

Affiliation:

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

2. Laboratory of Quantum Topology, Chelyabinsk State University, Brat'ev Kashirinykh Street 129, Chelyabinsk 454001, Russia

3. Laboratoire de Mathématiques Nicolas Oresme, CNRS UMR 6139, Université de Caen BP 5186, F-14032 Caen, France

Abstract

We consider the group of unrestricted virtual braids, describe its structure and explore its relations with fused links. Also, we define the groups of flat virtual braids and virtual Gauss braids and study some of their properties, in particular their linearity.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216515500637

Reference26 articles.

1. On the Automorphisms of Free Groups and Free Nilpotent Groups

2. Exotic statistics for strings in 4d BF theory

3. The virtual and universal braids

4. Combinatorial properties of virtual braids

5. Groups of virtual and welded links

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