Linearity of some low-complexity mapping class groups

被引：2
作者：
Soroko, Ignat [1 ]
机构：
[1] Louisiana State Univ, Dept Math, Baton Rouge, LA 70803 USA
来源：
FORUM MATHEMATICUM | 2020年 / 32卷 / 02期
关键词：
Mapping class group; presentation; linearity; ARTIN GROUPS; BRAID-GROUPS;
D O I：
10.1515/forum-2019-0184
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
By analyzing known presentations of the pure mapping groups of orientable surfaces of genus g with b boundary components and n punctures in the cases when g = 0 with b and n arbitrary, and when g = 1 and b + n is at most 3, we show that these groups are isomorphic to some groups related to the braid groups and the Artin group of type D-4. As a corollary, we conclude that the pure mapping class groups are linear in these cases.
引用
收藏
页码：279 / 286
页数：8
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