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Rank gradient, cost of groups and the rank versus Heegaard genus problem

Abért, Miklós and Nikolov, Nikolay (2012) Rank gradient, cost of groups and the rank versus Heegaard genus problem. JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 14 (5). pp. 1657-1677. ISSN 1435-9855

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Abstract

We study the growth of the rank of subgroups of finite index in residually finite groups, by relating it to the notion of cost. As a by-product, we show that the 'rank vs. Heegaard genus' conjecture on hyperbolic 3-manifolds is incompatible with the 'fixed price problem' in topological dynamics. © European Mathematical Society 2012.

Item Type: Article
Additional Information: Cited By :29 Export Date: 8 February 2020 Correspondence Address: Abért, M.; Alfréd Rényi Institute of Mathematics, Reáltanoda utca 13-15, H-1053 Budapest, Hungary; email: abert@renyi.hu Funding details: Engineering and Physical Sciences Research Council, EPSRC, EP/H045112/1
Subjects: Q Science / természettudomány > QA Mathematics / matematika
SWORD Depositor: MTMT SWORD
Depositing User: MTMT SWORD
Date Deposited: 26 Feb 2021 09:55
Last Modified: 26 Feb 2021 09:55
URI: http://real.mtak.hu/id/eprint/121709

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