34046

1960-

Peter Abramenko, Kenneth S. Brown

Springer

xxi, 747 p. : ill. ; 24 cm.

Graduate texts in mathematics ;251

"Based in part on Buildings, Kenneth S. Brown, 1989, 1998"--t.p. verso,Includes bibliographical references (p. [719]-735) and indexes

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

AU Brown, Kenneth S , AU Buildings Brown, Kenneth S , TI , SE

QA

174.2

.A26

2008

QA 174.2 .A26 2008

c2008