Locally pro-p contraction groups are nilpotent

Helge Glockner; George A. Willis

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arXiv · 2006.10999

Locally pro-p contraction groups are nilpotent

Helge Glockner·George A. Willis

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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.

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Helge Glockner, George A. Willis. 2020-06-19. Locally pro-p contraction groups are nilpotent. https://arxiv.org/abs/2006.10999

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