Please use this identifier to cite or link to this item: https://scholarbank.nus.edu.sg/handle/10635/120569
Title: ON HOMOTOPY BRAID GROUPS AND COHEN GROUPS
Authors: LIU MINGHUI
Keywords: Homotopy braid groups, Cohen groups, Carnot algebra, Cohen algebra, Artin representation, Reduced free groups
Issue Date: 16-Mar-2015
Citation: LIU MINGHUI (2015-03-16). ON HOMOTOPY BRAID GROUPS AND COHEN GROUPS. ScholarBank@NUS Repository.
Abstract: The thesis studies several topics on homotopy braid groups. It presents a representation of the homotopy braid groups which is an analogue of the classical Artin representation. Also we show that the representation is faithful. The Carnot algebra of homotopy braid group is obtained. Also we study Cohen homotopy braid groups and gave a (unfaithful) presentation of Cohen homotopy braid groups with all Brunnian homotopy braids in its kernel.
URI: http://scholarbank.nus.edu.sg/handle/10635/120569
Appears in Collections:Ph.D Theses (Open)

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