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arXiv:0910.0267 [math.GR]AbstractReferencesReviewsResources

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

John G. Ratcliffe

Published 2009-10-02, updated 2010-01-06Version 4

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.

Comments: Some new references have been added to v3
Categories: math.GR, math.GT
Subjects: 20E06, 57M25
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