Affine reflection groups and Bruhat-Tits buildings

Abstract

This thesis contains a summary of material about finite and affine reflection groups as well as about Tits' construction of buildings, aiming ultimately at creating buildings associated to split classical algebraic groups over a p-adic field. To this end, this thesis contains a review of p-adic numbers as well as several examples of classical algebraic groups. It also contains numerous examples worked out in detail.