Torsion Subgroups of Groups with Cubic Dehn Function

Francis Wagner

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arXiv · 2001.03261

Torsion Subgroups of Groups with Cubic Dehn Function

Francis Wagner

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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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Francis Wagner. 2020-01-10. Torsion Subgroups of Groups with Cubic Dehn Function. https://arxiv.org/abs/2001.03261

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