2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/159451We prove some basic facts on parahoric subgroups and on Iwahori-Weyl groups.11 pages. Appendix to the paper "Twisted loop groups and their affine flag varieties", by G. Pappas and M. Rapoport; arXiv:math/0607130Representation TheoryAlgebraic Geometry11E95, 20G25text