ON AN ACTION OF THE BRAID GROUP B2g+2 ON THE FREE GROUP F2g-Reference-Cited by-同舟云学术

ON AN ACTION OF THE BRAID GROUP B2g+2 ON THE FREE GROUP F2g

Published:2013-06 Issue:04 Volume:23 Page:819-831
ISSN:0218-1967
Container-title:International Journal of Algebra and Computation
language:en
Short-container-title:Int. J. Algebra Comput.

Author:

KASSEL CHRISTIAN¹

Affiliation:

1. Institut de Recherche Mathématique Avancée, CNRS & Université de Strasbourg, 7 rue René Descartes, 67084 Strasbourg, France

Abstract

We construct an action of the braid group B2g+2 on the free group F2g extending an action of B4 on F2 introduced earlier by Reutenauer and the author. Our action induces a homomorphism from B2g+2 into the symplectic modular group Sp 2g(ℤ). In the special case g = 2 we show that the latter homomorphism is surjective and determine its kernel, thus obtaining a braid-like presentation of Sp4(ℤ).

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218196713400110

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