LEADER 03148nam0 22005653i 450 001 VAN00269167 005 20260630111439.750 017 70$2N$a9781461210191 035 40$a849230830 100 $a20240103d1989 |0itac50 ba 101 $aeng 102 $aUS 105 $a|||| ||||| 181 $ai$b e 182 $ab 183 $acr 200 1 $aBuildings$fKenneth S. Brown 210 $aNew York$cSpringer$d1989 215 $aviii, 215 p.$cill.$d24 cm 327 $aFor years I have heard about buildings and their applications to group theory. I finally decided to try to learn something about the subject by teaching a graduate course on it at Cornell University in Spring 1987. This book is based on the not es from that course. The course started from scratch and proceeded at a leisurely pace. The book therefore does not get very far. Indeed, the definition of the term "building" doesn't even appear until Chapter IV. My hope, however, is that the book gets far enough to enable the reader to tadle the literat ure on buildings, some of which can seem very forbidding. Most of the results in this book are due to J. Tits, who originated the the­ ory of buildings. The main exceptions are Chapter I (which presents some classical material), Chapter VI (which prcsents joint work of F. Bruhat and Tits), and Chapter VII (which surveys some applications, due to var­ ious people). It has been a pleasure studying Tits's work; I only hope my exposition does it justice. 606 $a20-XX$xGroup theory and generalizations [MSC 2020]$3VANC019715$2MF 606 $a20E42$xGroups with a BN-pair; buildings [MSC 2020]$3VANC023620$2MF 606 $a20G10$xCohomology theory for linear algebraic groups [MSC 2020]$3VANC024248$2MF 606 $a51E24$xBuildings and the geometry of diagrams [MSC 2020]$3VANC023619$2MF 606 $a51F15$xReflection groups, reflection geometries [MSC 2020]$3VANC023800$2MF 610 $aCohomology$9KW:K 610 $aFinite$9KW:K 610 $aGeometry$9KW:K 610 $aGroup theory$9KW:K 610 $aGroups$9KW:K 610 $aHomology$9KW:K 610 $aMathematics$9KW:K 610 $aMinimum$9KW:K 610 $aReflection$9KW:K 610 $aScratch$9KW:K 610 $aTopology$9KW:K 620 $aUS$dNew York$3VANL000011 700 1$aBrown$bKenneth S.$3VANV042244$061524 712 $aSpringer $3VANV108073$4650 790 1$aBrown, Kenneth Stephen$zBrown, Kenneth S.$3VANV262292 790 1$aBrown, K. S.$zBrown, Kenneth S.$3VANV262293 790 1$aBrown, K.S.$zBrown, Kenneth S.$3VANV262294 801 $aIT$bSOL$c20260703$gRICA 856 4 $uhttps://doi.org/10.1007/978-1-4612-1019-1$zE-book ? Accesso al full-text attraverso riconoscimento IP di Ateneo, proxy e/o Shibboleth 899 $aBIBLIOTECA DEL DIPARTIMENTO DI MATEMATICA E FISICA$1IT-CE0120$2VAN08 912 $fN 912 $aVAN00269167 950 $aBIBLIOTECA DEL DIPARTIMENTO DI MATEMATICA E FISICA$d08DLOAD e-book 7939 $e08eMF7939 20240202 996 $aBuildings$93656264 997 $aUNICAMPANIA