The braid group: redefining (original) (raw)

Braids and Knots

Patrick D Bangert

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New Permutation Representations of the Braid Group

Mina Teicher

Arxiv preprint arXiv: …, 2008

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The pure braid groups and their relatives

Alex Suciu

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Virtual braids

Louis Kauffman

Fundamenta Mathematicae, 2004

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A New Algorithm for Solving the Word Problem in Braid Groups

David Garber

Advances in Mathematics, 2002

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Fast Nielsen–Thurston classification of braids

Matthieu Calvez

Algebraic & Geometric Topology, 2014

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Algorithmic Problems in the Braid Groups

Patrick D Bangert

University College London, Ph.D. Thesis, 2002

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On reducible braids and composite braids

Stephen P. Humphries

Glasgow Mathematical Journal, 1994

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A new characterisation of Braid groups and rings of invariants for symmetric automorphism groups

Stephen P. Humphries

Mathematische Zeitschrift, 1997

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Split braids

Stephen P. Humphries

Proceedings of the American Mathematical Society, 1991

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Generators for two groups related to the braid group

Hugh Hilden

Pacific Journal of Mathematics, 1975

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On the Linear Representation of Braid Groups

Darren Long

Transactions of the American Mathematical Society, 1989

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A New Approach to the Word and Conjugacy Problems in the Braid Groups

jin lee

Advances in Mathematics, 1998

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Fast Algorithmic Nielsen–Thurston Classification of Four-Strand Braids

Matthieu Calvez

Journal of Knot Theory and Its Ramifications, 2012

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Minimum Braids: A Complete Invariant of Knots and Links

Tom Gittings

arXiv (Cornell University), 2004

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A Basic n Dimensional Representation of Artin Braid Group B n , and a General Burau Representation

Horizon Research Publishing(HRPUB) Kevin Nelson

Mathematics and Statistics, 2022

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Low-dimensional representations of the three component loop braid group

Eric Rowell, Julia Plavnik

Journal of Mathematical Physics, 2015

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A Categorical Model for the Virtual Braid Group

Louis H Kauffman

Journal of Knot Theory and Its Ramifications, 2012

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On certain permutation representations of the braid group. Part II

Valentin Iliev

arXiv (Cornell University), 2010

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Braid Groups Are Not Rigid

Stephen P. Humphries

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The BNS-invariant for the pure braid groups

Jon McCammond

Groups, Geometry, and Dynamics, 2015

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Virtual braids from a topological viewpoint

Aaron De la Cruz

Journal of Knot Theory and Its Ramifications, 2015

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Length-based conjugacy search in the braid group

Mina Teicher, U. Vishne

Contemporary Mathematics, 2006

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Braid Group Cryptography

David Garber

Braids, 2009

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New rewriting system for the braid group B4

Andrei Vesnin

2002

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Composition problems for braids: Membership, Identity and Freeness

Sang Ki Ko

ArXiv, 2017

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Virtual and universal braid groups, their quotients and representations

Andrei Vesnin

Journal of Group Theory, 2022

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Conjugacy Classes of the 3-Braid Group

Usman Ali

Algebra Colloquium, 2010

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