Buildings and the geometry of diagrams: lectures given at the 3rd 1984 Session of the Centro internazionale matematico estivo (C.I.M.E.) held at Como, Italy, August 26-September 4, 1984 / L. A. Rosati

Collectivité principale: Centro internazionale matematico estivo (CIME), Como, Italy (1984) Auteur secondaire : Rosati, Luigi Antonio (1923-2011) - Editeur scientifiqueType de document: Livre numériqueCollection: Lecture notes in mathematics, (Online) ; 1181Langue: anglaisÉditeur: Berlin : Springer-Verlag, 1986 ISBN: 9783540164661 ISSN: 1617-9692Note: From the preface: "In this volume we present the proceedings of the CIME session `Buildings and the geometry of diagrams' which was held at Como from August 26 to September 4, 1984. The aim of the session was to describe some of the principal aspects of a field of geometry which is worthy of consideration both for its intrinsic interest, and for its applications to the theory of groups.'' Contents: Francis Buekenhout, The geometry of the finite simple groups (pp. 1–78); William M. Kantor, Generalized polygons, SCABs and GABs (pp. 79–158); Jacques Tits, Immeubles de type affine [Buildings of affine type] (pp. 159–190); Arjeh M. Cohen, Point-line characterizations of buildings (pp. 191–206); Th. Meixner, Constructions of chamber systems of type M with transitive automorphism group (pp. 207–217); Antonio Pasini, Covers of finite geometries with nonspherical minimal circuit diagram (pp. 218–241); M. A. Ronan, A construction of buildings with no rank 3 residues of spherical type (pp. 242–248); F. G. Timmesfeld, Tits chamber systems and finite group theory (pp. 249–269). Sujets MSC: 20-06 Group theory and generalizations -- Proceedings, conferences, collections, etc
51-06 Geometry -- Proceedings, conferences, collections, etc
20D05 Group theory and generalizations -- Abstract finite groups -- Finite simple groups and their classification
51B05 Geometry -- Nonlinear incidence geometry -- General theory
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From the preface: "In this volume we present the proceedings of the CIME session `Buildings and the geometry of diagrams' which was held at Como from August 26 to September 4, 1984. The aim of the session was to describe some of the principal aspects of a field of geometry which is worthy of consideration both for its intrinsic interest, and for its applications to the theory of groups.''
Contents: Francis Buekenhout, The geometry of the finite simple groups (pp. 1–78); William M. Kantor, Generalized polygons, SCABs and GABs (pp. 79–158); Jacques Tits, Immeubles de type affine [Buildings of affine type] (pp. 159–190); Arjeh M. Cohen, Point-line characterizations of buildings (pp. 191–206); Th. Meixner, Constructions of chamber systems of type M with transitive automorphism group (pp. 207–217); Antonio Pasini, Covers of finite geometries with nonspherical minimal circuit diagram (pp. 218–241); M. A. Ronan, A construction of buildings with no rank 3 residues of spherical type (pp. 242–248); F. G. Timmesfeld, Tits chamber systems and finite group theory (pp. 249–269).

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