Introduction -- Finite reflection groups --Coxeter groups -- Coxeter complexes -- Buildings as chamber complexes -- Buildings as W-metric spaces -- Buildings and groups -- Root groups and the Moufang property -- Moufang twin buildings and RGD systems -- The classification of spherical buildings -- Euclidean and hyperbolic reflection groups -- Euclidean buildings -- Buildings as metric spaces -- Applications to the cohomology of groups -- Other applications -- Cell complexes -- Root systems -- Algebraic groups
Summary
This book treats Jacques Tits's beautiful theory of buildings, making that theory accessible to readers with minimal background. Beginners can use parts of the text as a friendly introduction to buildings, but it also contains valuable material for the active researcher
Bibliography
Includes bibliographical references (pages 719-735) and index
