Simple p-adic Lie groups with abelian Lie algebras
Simple p-adic Lie groups with abelian Lie algebras
For each prime p and each positive integer d, we construct the first examples of second countable, topologically simple, p-adic Lie groups of dimension d whose Lie algebras are abelian. This answers several questions of Glöckner and Caprace-Monod. The proof relies on a generalization of small cancellation methods that applies to central extensions of acylindrically hyperbolic groups.
Caprace, P.-E.
a89ce108-f919-4fbd-9d6f-99b9af6abb81
Minasyan, A.
3de640f5-d07b-461f-b130-5b1270bfdb3d
Osin, D.
32a9932c-f439-4b83-b639-1a53ac6bf6f5
Caprace, P.-E.
a89ce108-f919-4fbd-9d6f-99b9af6abb81
Minasyan, A.
3de640f5-d07b-461f-b130-5b1270bfdb3d
Osin, D.
32a9932c-f439-4b83-b639-1a53ac6bf6f5
Caprace, P.-E., Minasyan, A. and Osin, D.
(2024)
Simple p-adic Lie groups with abelian Lie algebras.
Journal für die reine und angewandte Mathematik.
(In Press)
Abstract
For each prime p and each positive integer d, we construct the first examples of second countable, topologically simple, p-adic Lie groups of dimension d whose Lie algebras are abelian. This answers several questions of Glöckner and Caprace-Monod. The proof relies on a generalization of small cancellation methods that applies to central extensions of acylindrically hyperbolic groups.
Text
Simple_p_adic_Lie_groups
- Accepted Manuscript
Restricted to Repository staff only
Request a copy
More information
Accepted/In Press date: 26 April 2024
Identifiers
Local EPrints ID: 489877
URI: http://eprints.soton.ac.uk/id/eprint/489877
ISSN: 0075-4102
PURE UUID: 6426efa8-7e1b-44b9-b945-09e2f1cf88f5
Catalogue record
Date deposited: 07 May 2024 16:31
Last modified: 08 May 2024 01:41
Export record
Contributors
Author:
P.-E. Caprace
Author:
D. Osin
Download statistics
Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.
View more statistics
