01791nam a2200361 i 4500991000114619707536090309s2008 vaua b 001 0 eng d97803877883400387788344b13815969-39ule_instDip.to Matematicaeng512.222AMS 20E42AMS 20F55AMS 51E24AMS 51F15LC QA174.2.A26Abramenko, Peter61073Buildings :theory and applications /Peter Abramenko, Kenneth S. BrownCharlottesville, VA:Springer,c2008xxi, 747 p. :ill. ;24 cmGraduate texts in mathematics,0072-5285 ;248"Based in part on Buildings, Kenneth S. Brown, 1989, 1998": t.p. versoIncludes bibliographical references (p. [719]-735) and indexesContents: 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 groupsBuildings (Group theory)Brown, Kenneth S..b1381596928-01-1409-03-09991000114619707536LE013 20E ABR12 (2008)12013000210063le013pE46.95-l- 00000.i1494149110-03-09Buildings1225636UNISALENTOle01309-03-09ma -engvau00