Locally pro-p contraction groups are nilpotent-Reference-Cited by-同舟云学术

Locally pro-p contraction groups are nilpotent

Published:2021-10-16 Issue:781 Volume:2021 Page:85-103
ISSN:0075-4102
Container-title:Journal für die reine und angewandte Mathematik (Crelles Journal)
language:en
Short-container-title:

Author:

Glöckner Helge¹,Willis George A.²^ORCID

Affiliation:

1. Institut für Mathematik , Universität Paderborn , Warburger Str. 100, 33098 Paderborn , Germany ; and Department of Mathematics, University of Newcastle, Callaghan, NSW 2308, Australia

2. Department of Mathematics , University of Newcastle , Callaghan , NSW 2308 , Australia

Abstract

Abstract The authors have shown previously that every locally pro-p contraction group decomposes into the direct product of a p-adic analytic factor and a torsion factor. It has long been known that p-adic analytic contraction groups are nilpotent. We show here that the torsion factor is nilpotent too, and hence that every locally pro-p contraction group is nilpotent.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/crelle-2021-0050/pdf

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