Twisted conjugacy classes in nilpotent groups

被引：37
|
作者：
Roman'kov, V. [1 ]
机构：
[1] Omsk State Dostoevskii Univ, Omsk 644077, Russia
来源：
JOURNAL OF PURE AND APPLIED ALGEBRA | 2011年 / 215卷 / 04期
关键词：
D O I：
10.1016/j.jpaa.2010.06.015
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let N be a finitely generated nilpotent group We show that there is an algorithm that for any automorphism phi is an element of Aut(N) computes its Reidemeister number R(phi) It is proved that any free nilpotent group N(rc) of rank r and class c belongs to class R(infinity) if any of the following conditions holds r = 2 and c >= 4 r = 3 and c >= 12 r >= 4 and c >= 2r (C) 2010 Elsevier B V All rights reserved
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页码：664 / 671
页数：8
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