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

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

2009-10-02

arxiv.org/abs/0910.0267v4

Mathematics

Group Theory

Some new references have been added to v3

Scientific paper

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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