Buildings

For 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.

Zusammenfassung

This book gives an introduction to Jacques Tit's theory of buildings, a subject in which there is a rich interplay between group theory and geometry. The book starts from scratch, with a discussion of finite reflection groups, and takes the reader to the literature on buildings. The book should be accessible to any mathematics graduate student who knows very little group theory and topology.

Produktdetails

• Autoren: Kenneth S. Brown, Kenneth S Brown
• Verlag: Springer, Berlin
• Sprachen: Englisch
• Inhalt: Buch
• Produktform: Fester Einband
• Erscheinungsdatum: 01.01.1960
• Thema: Naturwissenschaften, Medizin, Informatik, Technik > Mathematik > Arithmetik, Algebra
• EAN: 9780387986241
• ISBN: 978-0-387-98624-1
• Anzahl Seiten: 215
• Illustration: VIII, 215 p.
• Abmessung (Verpackung): 17.8 x 24.2 cm
• Gewicht (Verpackung): 476 g
• Serie: Springer Monographs in Mathematics; Springer Monographs in Mathematics
• Themen: C, Scratch, Microsoft Access, Mathematics, geometry, Homology, minimum, Group, Mathematics and Statistics, Topology, Group Theory and Generalizations, Reflection, cohomology