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The homological invariants for metabelian groups of finite Prüfer rank: a proof of the Σ m –conjecture

By Holger Meinert


We prove the homological part of the I m-conjecture for metabelian groups G of finite Priifer rank: if G is of type FPm then the complement of the higher homological invariant Z"'(G;Z) introduced by R. Bieri and B. Renz [10] is given by the formula conv^S^G;Z) C = l m (G;Z) C, where convSm2'(G;Z) C is the union of the convex hulls of all subsets of at most m elements of 1 1

Year: 1996
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