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arXiv · 2106.14175

Torsion growth in finitely presented pro-$p$ groups

Nikolay Nikolov
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Abstract

We prove that torsion in the abelianizations of open normal subgroups in finitely presented pro-$p$ groups can grow arbitrarily fast. By way of contrast in $\mathbb Z_p$- analytic groups the torsion growth is at most polynomial.

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Nikolay Nikolov. 2021-06-27. Torsion growth in finitely presented pro-$p$ groups. https://arxiv.org/abs/2106.14175

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