Browsing Mathematics Doctoral Work by Subject "extension"
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Knot Groups and Bi-Orderable HNN Extensions of Free Groups
(North Dakota State University, 2020)Suppose K is a fibered knot with bi-orderable knot group. We perform a topological winding operation to half-twist bands in a free incompressible Seifert surface Σ of K. This results in a Seifert surface Σ' with boundary ...