A small normal generating set for the handlebody subgroup of the Torelli group

被引：0
作者：
Genki Omori
机构：
[1] Saitama University,(Genki Omori) Course of Mathematics, Programs in Mathematics, Electronics and Informatics, Graduate School of Science and Engineering
来源：
Geometriae Dedicata | 2019年 / 201卷
关键词：
Handlebody group; Torelli group; BP-maps;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We prove that the handlebody subgroup of the Torelli group of an orientable surface is generated by genus one BP-maps . As an application, we give a normal generating set for the handlebody subgroup of the level d mapping class group of an orientable surface.
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页码：353 / 367
页数：14
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