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arXiv · 0910.0267

On normal subgroups of an amalgamated product of groups with applications to knot theory

John G. Ratcliffe
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Abstract

In this paper, we give some necessary and sufficient conditions for a normal subgroup of an amalgamated product of groups to be finitely generated. We apply these conditions together with Stallings' fibering theorem to prove that an irreducible multilink in a homology 3-sphere fibers if and only if each of its multilink splice components fibers.

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John G. Ratcliffe. 2010-01-06. On normal subgroups of an amalgamated product of groups with applications to knot theory. https://arxiv.org/abs/0910.0267

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