English

How far are p-adic Lie groups from algebraic groups?

Group Theory 2021-01-27 v1

Abstract

We show that, in a weakly regular pp-adic Lie group GG, the subgroup GuG_u spanned by the one-parameter subgroups of GG admits a Levi decomposition. As a consequence, there exists a regular open subgroup of GG which contains GuG_u.

Cite

@article{arxiv.2101.10662,
  title  = {How far are p-adic Lie groups from algebraic groups?},
  author = {Yves Benoist and Jean-François Quint},
  journal= {arXiv preprint arXiv:2101.10662},
  year   = {2021}
}
R2 v1 2026-06-23T22:32:11.436Z