On symmetric commutator subgroups, braids, links and homotopy groups

On symmetric commutator subgroups, braids, links and homotopy groups
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关于对称交换子群、辫子群、连杆群和同伦群

DOI:
10.1090/s0002-9947-2011-05339-0
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发表时间:
2010-02
影响因子:
1.3
通讯作者:
Jingyan Li, Jie Wu
Jingyan Li, Jie Wu
中科院分区:
数学1区
文献类型:
--
作者:
Jingyan Li, Jie Wu

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In this paper, we investigate some applications of commutator subgroups to homotopy groups and geometric groups. In particular, we show that the intersection subgroups of some canonical subgroups in certain link groups modulo their symmetric commutator subgroups are isomorphic to the (higher) homotopy groups. This gives a connection between links and homotopy groups. Similar results hold for braid and surface groups.
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