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Start Over Author "J. Y. Li" Journal transactions of the american mathematical society
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1. On symmetric commutator subgroups, braids, links and homotopy groups.

Author

J. Y. Li and J. Wu

Subjects
*COMMUTATORS (Operator theory), *HOMOTOPY groups, *GROUP theory, *BRAID theory, *GEOMETRIC group theory, *MATHEMATICAL analysis
Abstract

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. [ABSTRACT FROM AUTHOR]

Published
2011
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