Lectures on buildings

Lectures on buildings

by Ronan, Mark

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Title Statements

  • Full title :Lectures on buildings / Mark Ronan.

Edition Statements

  • Publication Date:2009,
  • Edition:Updated and rev. ed

Publication Statements

Notes

Previous edition: Boston, Mass. ; London : Academic Press, c1989.

The Physical Object

  • Description:xii, 228 pages : : illustrations ; : 23 cm

Edition Identifiers

  • ISBN:9780226724997, 0226724999
  • oclc:ocn751019721
  • LC Classification:QA179
  • Dewey Decimal:512.2

Table of Contents

Chamber systems and examples -- Buildings and the origin of chamber systems -- 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 -- 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 -…

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Subjects

Buildings (Group theory) Finite geometries Finite groups Géométries finies Groupes finis Immeubles (Théorie des groupes)

Writers

Ronan, Mark

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