Fundamental group of asymptotic cones of abelian-by-cyclic groups

被引：0
|
作者：
Xie, Zhiqi [1 ]
机构：
[1] Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China
来源：
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 2015年 / 38卷
关键词：
Abelian-by-cyclic; Asymptotic cone; Quasi-isometry; THEOREM;
D O I：
10.1016/j.difgeo.2014.12.006
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the asymptotic cone of an abelian-by-cyclic group. We find that the fundamental groups of those spaces are uncountable and nonfree by constructing subgroups isomorphic to the fundamental group of the Hawaiian earring. (C) 2015 Elsevier B.V. All rights reserved.
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页码：151 / 158
页数：8
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