Handlebody subgroups in a mapping class group

被引：4
|
作者：
Bestvina, Mladen [1 ]
Fujiwara, Koji [2 ]
机构：
[1] Univ Utah, Dept Math, Salt Lake City, UT 84112 USA
[2] Kyoto Univ, Dept Math, Kyoto 6068502, Japan
来源：
IN THE TRADITION OF AHLFORS-BERS, VII | 2017年 / 696卷
基金：
美国国家科学基金会;
关键词：
Handlebody subgroups; acylindrical actions; invariable generation; acylindrically hyperbolic groups; COMPLEX; CURVES;
D O I：
10.1090/conm/696/14015
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Suppose subgroups A, B < MCG(S) in the mapping class group of a closed orientable surface S are given and let < A, B > be the subgroup they generate. We discuss a question by Minsky asking when < A, B > similar or equal to A * A boolean AND B (B) for handlebody subgroups A, B. We also prove that acylindrically hyperbolic groups are not "invariably generated".
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页码：29 / 50
页数：22
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