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arXiv:1409.6029 [math.GR]AbstractReferencesReviewsResources

The virtual first Betti number of soluble groups

Martin R. Bridson, Dessislava H. Kochloukova

Published 2014-09-21Version 1

We show that if a group G is finitely presented and nilpotent-by-abelian-by-finite, then there is an upper bound on the first betti number of M as M runs through all subgroups of finite index in G.

Comments: 11 pages, no figures. To appear in Pacific Journal of Math
Categories: math.GR
Subjects: 20F16, 20J05
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