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http://hdl.handle.net/123456789/3167
Title: | On some decompositions of the 3-strand singular braid group |
Authors: | Gongopadhyay, Krishnendu |
Keywords: | Braid group Monoid of singular braids Singular pure braid group |
Issue Date: | 2020 |
Publisher: | Elsevier B.V. |
Citation: | Topology and its Applications, 283. |
Abstract: | Let SBn be the singular braid group generated by braid generators σi and singular braid generators τi, 1≤i≤n−1. Let STn denote the group that is the kernel of the homomorphism that maps, for each i, σi to the cyclic permutation (i,i+1) and τi to 1. In this paper we investigate the group ST3. We obtain a presentation for ST3. We prove that ST3 is isomorphic to the singular pure braid group SP3 on 3 strands. We also prove that the group ST3 is semi-direct product of a subgroup H and an infinite cyclic group, where the subgroup H is an HNN-extension of Z2⁎Z2. |
URI: | https://www.sciencedirect.com/science/article/pii/S0166864120303400?via%3Dihub http://hdl.handle.net/123456789/3167 |
Appears in Collections: | Research Articles |
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