ON CONJUGACY CLASSES OF THE KLEIN SIMPLE GROUP IN CREMONA GROUP

被引：1

作者：

Ahmadinezhad, Hamid ^{[1
]}

机构：

[1] Univ Bristol, Sch Math, Bristol BS8 1TW, Avon, England

来源：

GLASGOW MATHEMATICAL JOURNAL | 2017年 / 59卷 / 02期

关键词：

FINITE SUBGROUPS; STABLE CONJUGACY; RANK; 3; EMBEDDINGS;

D O I：

10.1017/S0017089516000239

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider countably many three-dimensional PSL2(F-7)-del Pezzo surface fibrations over P-1. Conjecturally, they are all irrational except two families, one of which is the product of a del Pezzo surface with P-1. We show that the other model is PSL2(F-7)-equivariantly birational to P-2 x P-1. Based on a result of Prokhorov, we show that they are non-conjugate as subgroups of the Cremona group Cr-3(C).

引用

页码：395 / 400

页数：6

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