Reidemeister spectrum of special and general linear groups over some fields contains 1

被引：8

作者：

Nasybullov, Timur ^{[1
]}

机构：

[1] KU Leuven KULAK, Etienne Sabbelaan 53, B-8500 Kortrijk, Belgium

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2019年 / 18卷 / 08期

基金：

比利时弗兰德研究基金会;

关键词：

Twisted conjugacy classes; Reidemeister number; Reidemeister spectrum; linear groups; width; TWISTED CONJUGACY CLASSES; R-INFINITY-PROPERTY;

D O I：

10.1142/S0219498819501536

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that if F is an algebraically closed field of zero characteristic which has infinite transcendence degree over Q, then there exists a field automorphism phi of SLn(F) and GL(n)(F) such that R(phi) = 1. This fact implies that SLn(F) and GL(n)(F) do not possess the R-infinity-property. However, if the transcendece degree of F over Q is finite, then SLn(F) and GL(n)(F) are known to possess the R-infinity-property [13].

引用

页数：12

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