Deficiency, relation gap and two-dimensional groups

Let G be a finitely presented, residually finite group and let δ(G) denote the deficiency of G . Assume that every subgroup H of finite index in G satisfies δ(H)−1=|G:H|(δ(G)−1) . We conjecture that G has a two-dimensional finite classifying space K(G,1) . This conjecture is motivated by an ope...

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Bibliographic Details
Main Authors: Kar, A, Nikolov, NV
Format: Journal article
Language:English
Published: World Scientific Publishing 2023