Conjugation-invariant norms on the commutator subgroup of the infinite braid group

被引：4
|
作者：
Kimura, Mitsuaki [1 ]
机构：
[1] Univ Tokyo, Grad Sch Math Sci, Meguro Ku, 3-8-1 Komaba, Tokyo 1538914, Japan
来源：
JOURNAL OF TOPOLOGY AND ANALYSIS | 2018年 / 10卷 / 02期
关键词：
Braid groups; conjugation-invariant norms; quasimorphisms;
D O I：
10.1142/S1793525318500152
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we give another proof of the result of Brandenbursky and Kedra which says that the commutator subgroup of the infinite braid group admits stably unbounded norms. Moreover, we observe that the norms which we construct are equivalent to the bi-invariant word norm studied by Brandenbursky and Kedra.
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页码：471 / 476
页数：6
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