Geodesic
Rank gradient, cost of groups and the rank versus Heegaard genus problem
Journal of the European Mathematical Society, Tome 14 (2012) no. 5, pp. 1657-1677.

Voir la notice de l'article provenant de la source EMS Press

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.
DOI : 10.4171/jems/344
Classification : 20-XX, 32-XX, 57-XX, 00-XX
Keywords: Rank gradient, cost, Heegaard genus, fixed price 
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     title = {Rank gradient, cost of groups and the rank versus {Heegaard} genus problem},
     journal = {Journal of the European Mathematical Society},
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Miklós Abért; Nikolay Nikolov. Rank gradient, cost of groups and the rank versus Heegaard genus problem. Journal of the European Mathematical Society, Tome 14 (2012) no. 5, pp. 1657-1677. doi : 10.4171/jems/344. http://geodesic.mathdoc.fr/articles/10.4171/jems/344/

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