Moufang Polygons
By: by Jacques Tits, Richard M. Weiss
Contributors: Weiss, Richard M.
Series: Springer Monographs in Mathematics; Springer Monographs in Mathematics
Publisher: Springer Berlin Heidelberg
Published: 2002
Place of publication: Berlin, Heidelberg
Language: eng
Format: [electronic resource] /
Number of pages: 538
ISBN-13: 9783642078330; 9783662046890
Subjects: Group theory; Combinatorics; Algebra; Geometry; Mathematics; Geometry, algebraic
Description: This book gives the complete classification of Moufang polygons, starting from first principles. In particular, it may serve as an introduction to the various important algebraic concepts which arise in this classification including alternative division rings, quadratic Jordan division algebras of degree three, pseudo-quadratic forms, BN-pairs and norm splittings of quadratic forms. This book also contains a new proof of the classification of irreducible spherical buildings of rank at least three based on the observation that all the irreducible rank two residues of such a building are Moufang polygons. In an appendix, the connection between spherical buildings and algebraic groups is recalled and used to describe an alternative existence proof for certain Moufang polygons.
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Table of contents: title: Preliminary Results; title: Nine Families of Moufang Polygons; title: The Classification of Moufang Polygons; title: More Results on Moufang Polygons; title: Moufang Polygons and Spherical Buildings; title: Bibliography; title: Index of Notation; title: Index.