Title Statements
- Full title :Lectures on buildings / Mark Ronan
Edition Statements
- Publication Date:2009
- Edition:Updat. and rev
Publication Statements
- Publisher(s):The Univ. of Chicago Press
- Place of Publication:Chicago
- Language:eng
- Publication Date:2009
The Physical Object
- Description:XII, 228 Seiten : Diagramme
Edition Identifiers
- ISBN:0226724999, 9780226724997
- oclc:ocn837081382
- LC Classification:QA179
- Dewey Decimal:512/.2
Table of Contents
Chamber systems and examples -- Chamber systems -- Two examples of buildings -- Exercises -- Coxeter complexes -- Coxeter groups and complexes -- Words and galleries -- Reduced words and homotopy -- Finite coxeter complexes -- Self-homotopy -- Exercises -- Buildings -- A definition of buildings -- Generalised m-gons -- the rank 2 case -- Residues and apartments -- Exercises -- Local properties and coverings -- Chamber systems of type m -- Coverings and the fundamental group -- The universal cover -- Examples -- Exercises -- Bn -- pairs -- Tits systems and buildings -- Parabolic subgroups -- Exercises -- Buildings of spherical type and root groups -- Some basic lemmas -- Root groups and the moufang property -- Commutator relations -- Moufang buildings -- the general case -- Exercises -- A construction of buildings -- Blueprints -- Natural labellings of moufang buildings -- Foundations -- Exercises -- The classification of spherical buildings -- 1.a3 blueprints and foundations -- Diagrams with single bonds -- C3 foundations -- Cn buildings for n> 4 -- Tits diagrams and f4 buildings -- Finite buildings -- Exercises -- Affine buildings I -- Affine coxeter complexes and sectors -- The …
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