The R-infinity property for crystallographic groups of Sol

Ha Ku Yong; Lee Jong Bum

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The R-infinity property for crystallographic groups of Sol

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摘要

There are 9 kinds of crystallographic groups Pi of Sol. For any automorphism phi on Pi, we study the Reidemeister number R(phi). Using the averaging formula for the Reidemeister numbers, we prove that most of the crystallographic groups of Sol have the R-infinity property. (C) 2014 Elsevier B.V. All rights reserved.

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《Topology and its applications 》 |2015年第15期| 112-133| 共22页
作者
Ha Ku Yong; Lee Jong Bum;
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作者单位

Sogang Univ, Dept Math, Seoul 121742, South Korea;

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原文格式 PDF
正文语种英语
中图分类高等数学 ;
关键词
Averaging formula; Crystallographic groups of Sol; R-infinity property; Reidemeister number;

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The R-infinity property for crystallographic groups of Sol

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