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

Conjugation-invariant norms on the commutator subgroup of the infinite braid group
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无限编织群换向子群的共轭不变范数

DOI:
10.1142/s1793525318500152
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发表时间:
2016
期刊:
Journal of Topology and Analysis (JTA)
影响因子:
--
通讯作者:
M. Kimura
M. Kimura
中科院分区:
--
文献类型:
--
作者:
M. Kimura

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本文再次证明了Brandenbursky和Kȩdra的结果,即无限辫群的对易子群允许稳定无界范数。此外,我们观察到我们构造的范数与Brandenbursky和Kȩdra研究的双不变字范数是等价的。
In this paper, we give another proof of the result of Brandenbursky and Kȩdra 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 Kȩdra.
DOI: --
发表时间: --
期刊: The Journal of Symplectic Geometry
影响因子: --
作者:
馬場 裕美;末吉 紀行;亀下 勇;馬場 裕美;Morimichi Kawasaki
通讯作者: Morimichi Kawasaki