On the splitting fields of generic elements in Zariski dense subgroups

被引：0

作者：

Pisolkar, Supriya ^{[1
]}

Rajan, C. S. ^{[2
]}

机构：

[1] Indian Inst Sci Educ & Res, Homi Bhabha Rd, Pune 411008, Maharashtra, India

[2] Tata Inst Fundamental Res, Sch Math, Homi Bhabha Rd, Bombay 400005, Maharashtra, India

来源：

JOURNAL OF ALGEBRA | 2016年 / 457卷

关键词：

Weil groups of Lie groups; Group theory; Representations of Lie groups;

D O I：

10.1016/j.jalgebra.2016.02.022

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a connected, absolutely almost simple, algebraic group defined over a finitely generated, infinite field K, and let Gamma be a Zariski dense subgroup of G(K). We show, apart from some few exceptions, that the commensurability class of the field F given by the compositum of the splitting fields of characteristic polynomials of generic elements of Gamma determines the group G up to isogeny over the algebraic closure of K.

引用

页码：106 / 128

页数：23

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