Explicit generators of some pro-p groups via Bruhat-Tits theory
Explicit generators of some pro-p groups via Bruhat-Tits theory
Given a semisimple group over a local field of residual characteristic p, its topological group of rational points admits maximal pro-p-subgroups. Quasi-split simply-connected semisimple groups can be described in the combinatorial terms of valued root groups, thanks to Bruhat-Tits theory. In this context, it becomes possible to compute explicitly a …