Homology torsion growth of finitely presented pro-p groups

We prove that torsion in the abelianizations of open normal subgroups in finitely presented pro-Unknown node type: span groups can grow arbitrarily fast. By way of contrast in Unknown node type: span-adic analytic groups the torsion growth is at most polynomial.

Bibliographic Details
Main Author: Nikolov, N
Format: Journal article
Language:English
Published: World Scientific Publishing 2022