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Torsion Subgroups of Groups with Cubic Dehn Function

Published 10 Jan 2020 in math.GR | (2001.03261v1)

Abstract: We construct the first examples of finitely presented groups with cubic Dehn function containing a finitely generated infinite torsion subgroup. Moreover, we show that any infinite free Burnside group with sufficiently large odd exponent can be embedded as a subgroup of a finitely presented group with cubic Dehn function.

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