The geometry of one-relator groups satisfying a polynomial isoperimetric inequality

For every pair of positive integers p > q we construct a one-relator group R p,q whose Dehn function is ≃ n 2α where α = log 2 (2p/q). The group R p,q has no subgroup isomorphic to a Baumslag–Solitar group BS(m, n) with m ≠ ±n, but...

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Bibliographic Details
Main Authors: Gardam, G, Woodhouse, DJ
Format: Journal article
Language:English
Published: American Mathematical Society 2018