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

被引：4

作者：

Kassel, Christian ^{[1
,2
]}

机构：

[1] CNRS, Inst Rech Math Avancee, F-67084 Strasbourg, France

[2] Univ Strasbourg, F-67084 Strasbourg, France

来源：

INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION | 2013年 / 23卷 / 04期

关键词：

Braid group; free group; symplectic group; ramified covering;

D O I：

10.1142/S0218196713400110

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct an action of the braid group B2g+2 on the free group F-2g extending an action of B-4 on F-2 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 Sp(4)(Z).

引用

页码：819 / 831

页数：13

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