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arXiv:1301.4025 [math.GT]AbstractReferencesReviewsResources

A note on the growth of Betti numbers and ranks of 3-manifold groups

Stefan Friedl

Published 2013-01-17, updated 2013-04-18Version 2

Let N be an irreducible, compact 3-manifold with empty or toroidal boundary which is not a closed graph manifold. Using recent work of Agol, Kahn-Markovic and Przytycki-Wise we will show that pi_1(N) admits a cofinal filtration with `fast' growth of Betti numbers as well as a cofinal filtration of pi_1(N) with `slow' growth of ranks.

Comments: 10 pages, updated references
Categories: math.GT
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