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

Stefan Friedl

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arXiv · 1301.4025

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

Stefan Friedl

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Abstract

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.

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Stefan Friedl. 2013-04-18. A note on the growth of Betti numbers and ranks of 3-manifold groups. https://arxiv.org/abs/1301.4025

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