English

Torsion growth in finitely presented pro-$p$ groups

Group Theory 2021-06-29 v1

Abstract

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

Keywords

Cite

@article{arxiv.2106.14175,
  title  = {Torsion growth in finitely presented pro-$p$ groups},
  author = {Nikolay Nikolov},
  journal= {arXiv preprint arXiv:2106.14175},
  year   = {2021}
}

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12 pages