TWISTED CONJUGACY CLASSES FOR POLYFREE GROUPS

被引：8

作者：

Fel'shtyn, Alexander ^{[1
]}

Goncalves, Daciberg ^{[2
]}

Wong, Peter ^{[3
]}

机构：

[1] Uniwersytet Szczecinski, Inst Matematyki, Szczecin, Poland

[2] Univ Sao Paulo, IME, Dept Matemat, BR-09500900 Sao Paulo, Brazil

[3] Bates Coll, Dept Math, Lewiston, ME 04240 USA

来源：

COMMUNICATIONS IN ALGEBRA | 2014年 / 42卷 / 01期

关键词：

Polyfree groups; Reidemeister number; Primary; 20E45; 20E15; Secondary; 55M20; AUTOMORPHISM GROUP;

D O I：

10.1080/00927872.2012.707718

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a finitely generated polyfree group. If G has nonzero Euler characteristic then we show that Aut(G) has a finite index subgroup in which every automorphism has infinite Reidemeister number. For certain G of length 2, we show that the number of Reidemeister classes of every automorphism is infinite.

引用

页码：130 / 138

页数：9

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