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arxiv: 1807.00293 · v5 · pith:UWKGMBQInew · submitted 2018-07-01 · 🧮 math.GT

Rank 1 abelian normal subgroups of 2-knot groups

classification 🧮 math.GT
keywords knotabeliangroupnormalrankeitherequivalentexample
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If the group of a 2-knot group $K$ has an abelian normal subgroup of rank $\geq1$ which is not finitely generated then either $K$ has no minimal Seifert hypersurface or $K$ is topologically equivalent to Example 10 of Ralph Fox's``{\it A quick trip through knot theory}".

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