SIMPLE RELATIONS IN THE CREMONA GROUP

被引：8

作者：

Blanc, Jeremy ^{[1
]}

机构：

[1] Univ Basel, Math Inst, CH-4051 Basel, Switzerland

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2012年 / 140卷 / 05期

关键词：

D O I：

10.1090/S0002-9939-2011-11004-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give a simple set of generators and relations for the Cremona group of the plane. Namely, we show that the Cremona group is the amalgamated product of the de Jonquieres group with the group of automorphisms of the plane, divided by one relation which is sigma tau = tau sigma, where tau = (x : y : z) bar right arrow (y : x : z) and sigma = (x : y: z) -> (yz : xz : xy).

引用

页码：1495 / 1500

页数：6