Torsion growth in finitely presented pro-p groups

2021/06/27 by Nikolay Nikolov, Nikolov, Nikolay
Mathematics · #Geometric and Algebraic Topology #Advanced Operator Algebra Research #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2106.14175

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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