Rank 1 abelian normal subgroups of 2-knot groups
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arXiv
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| Format: | Preprint |
| Published: |
2018
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| _version_ | 1866911689233924096 |
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| author | Hillman, Jonathan A. |
| author_facet | Hillman, Jonathan A. |
| contents | 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}". |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1807_00293 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | Rank 1 abelian normal subgroups of 2-knot groups Hillman, Jonathan A. Geometric Topology 57Q45 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}". |
| title | Rank 1 abelian normal subgroups of 2-knot groups |
| topic | Geometric Topology 57Q45 |
| url | https://arxiv.org/abs/1807.00293 |