1.

Record Nr.

UNISALENTO991000114619707536

Autore

Abramenko, Peter

Titolo

Buildings : theory and applications / Peter Abramenko, Kenneth S. Brown

Pubbl/distr/stampa

Charlottesville, VA : Springer, c2008

ISBN

9780387788340

0387788344

Descrizione fisica

xxi, 747 p. : ill. ; 24 cm

Collana

Graduate texts in mathematics, 0072-5285 ; 248

Classificazione

AMS 20E42

AMS 20F55

AMS 51E24

AMS 51F15

LC QA174.2.A26

Altri autori (Persone)

Brown, Kenneth S.

Disciplina

512.2

Soggetti

Buildings (Group theory)

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"Based in part on Buildings, Kenneth S. Brown, 1989, 1998": t.p. verso

Nota di bibliografia

Includes bibliographical references (p. [719]-735) and indexes

Nota di contenuto

Contents: 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