Artin covers of the braid groups

Meirav Amram; Ruth Lawrence; Uzi Vishne

doi:10.1142/S0218216512500617

Artin covers of the braid groups

Meirav Amram^*
, Ruth Lawrence
, Uzi Vishne

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

Computation of fundamental groups of Galois covers recently led to the construction and analysis of Coxeter covers of the symmetric groups [L. H. Rowen, M. Teicher and U. Vishne, Coxeter covers of the symmetric groups, J. Group Theory 8 (2005) 139169]. In this paper we consider analog covers of Artin's braid groups, and completely describe the induced geometric extensions of the braid group.

Original language	English
Article number	1250061
Journal	Journal of Knot Theory and its Ramifications
Volume	21
Issue number	7
DOIs	https://doi.org/10.1142/S0218216512500617
State	Published - Jun 2012

Keywords

Artin groups
Braid groups
Fundamental groups

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10.1142/S0218216512500617

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title = "Artin covers of the braid groups",

abstract = "Computation of fundamental groups of Galois covers recently led to the construction and analysis of Coxeter covers of the symmetric groups [L. H. Rowen, M. Teicher and U. Vishne, Coxeter covers of the symmetric groups, J. Group Theory 8 (2005) 139169]. In this paper we consider analog covers of Artin's braid groups, and completely describe the induced geometric extensions of the braid group.",

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AB - Computation of fundamental groups of Galois covers recently led to the construction and analysis of Coxeter covers of the symmetric groups [L. H. Rowen, M. Teicher and U. Vishne, Coxeter covers of the symmetric groups, J. Group Theory 8 (2005) 139169]. In this paper we consider analog covers of Artin's braid groups, and completely describe the induced geometric extensions of the braid group.

KW - Artin groups

KW - Braid groups

KW - Fundamental groups

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Artin covers of the braid groups

Abstract

Keywords

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