Polynomial maps over finite fields and residual finiteness of mapping tori of group endomorphisms

被引：28
|
作者：
Borisov, A [1 ]
Sapir, M
机构：
[1] Penn State Univ, Dept Math, University Pk, PA 16802 USA
[2] Vanderbilt Univ, Dept Math, Nashville, TN 37235 USA
来源：
INVENTIONES MATHEMATICAE | 2005年 / 160卷 / 02期
关键词：
D O I：
10.1007/s00222-004-0411-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove that every mapping torus of any free group endomorphism is residually finite. We show how to use a not yet published result of E. Hrushovski to extend our result to arbitrary linear groups. The proof uses algebraic self-maps of affine spaces over finite fields. In particular, we prove that when such a map is dominant, the set of its fixed closed scheme points is Zariski dense in the affine space.
引用
收藏
页码：341 / 356
页数：16
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