The virtual first Betti number of soluble groups
classification
🧮 math.GR
keywords
bettifirstnumberboundfinitefinitelygroupgroups
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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.
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