Buildings
Subtitle: theory and applications
By: Peter Abramenko, Kenneth S. Brown.
Contributors: Brown, Kenneth S.; Brown, Kenneth S.
Series: Graduate texts in mathematics -- 251
Publisher: Springer
Published: 2008
Place of publication: Charlottesville, VA
Language: eng
Number of pages: 747
ISBN-13: 9780387788340; 9780387788357
Subjects: Buildings (Group theory)
Notes: "Based in part on Buildings, Kenneth S. Brown, 1989, 1998"--t.p. verso.

Includes bibliographical references (p. [719]-735) and indexes.
Table of contents: title: Introduction; title: Finite reflection groups; title: Coxeter groups; title: Coxeter complexes; title: Buildings as chamber complexes; title: Buildings as W-metric spaces; title: Buildings and groups; title: Root groups and the Moufang property; title: Moufang twin buildings and RGD systems; title: The classification of spherical buildings; title: Euclidean and hyperbolic reflection groups; title: Euclidean buildings; title: Buildings as metric spaces; title: Applications to the cohomology of groups; title: Other applications; title: Cell complexes; title: Root systems; title: Algebraic groups.