Definable subgroups in $SL\_2$ over a p-adically closed field
Logic
2015-01-28 v1 Group Theory
Abstract
The aim of this paper is to describe all definable subgroups of SL2(K), for K a p-adically closed field. We begin by giving some "frame subgroups" which contain all nilpotent or solvable subgroups of SL2(K). A complete description is givien for K a p-adically closed field, some results are generalizable to K a field elementarily equivalent to a finite extension of Qp and an almost complete description is given for Q an p . We give also some indications about genericity and generosity in SL2(K).
Keywords
Cite
@article{arxiv.1501.06834,
title = {Definable subgroups in $SL\_2$ over a p-adically closed field},
author = {Benjamin Druart},
journal= {arXiv preprint arXiv:1501.06834},
year = {2015}
}