Overview
- Gives a complete classification of Moufang polygons, starting from first principles
- Includes a totally new classification of the spherical buildings of rank 3 at least
- J. Tits is one of the best and most influential algebraists of the past 50 years
- R. Weiss is one of the world's leading researchers in the field of combinatorial group theory
- The book will become a classic in the field
Part of the book series: Springer Monographs in Mathematics (SMM)
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Table of contents (42 chapters)
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Preliminary Results
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Nine Families of Moufang Polygons
Keywords
About this book
Reviews
From the reviews:
"In this excellently written book, the authors give a full classification for Moufang polygons. … The book is self contained … . the content of the book is accessible for motivated graduate students and researchers from every branch of mathematics. We recommend this book for everybody who is interested in the developments of the modern algebra, geometry or combinatorics." (Gábor P. Nagy, Acta Scientiarum Mathematicarum, Vol. 71, 2005)
"The publication of this long-awaited book is a major event for geometry in general, and for the theory of buildings in particular. … The classifications established in this book are splendid achievements of fundamental significance. The whole book is extremely well written, in a clear and concise style … . It is the definitive treatment and a standard reference." (Theo Grundhöfer, Mathematical Reviews, Issue 2003 m)
"This book contains the complete classification of all Moufang generalized polygons, including the full proof. … So, in conclusion, the book is a Bible for everyone interested in classification results related to spherical buildings. It is written in a very clear and concise way. It should be in the library of every mathematician as one of the major results in the theory of (Tits) buildings, (combinatorial) incidence geometry and (algebraic) group theory." (Hendrik Van Maldeghem, Bulletin of the Belgian Mathematical Society, Vol. 11 (3), 2005)
Authors and Affiliations
Bibliographic Information
Book Title: Moufang Polygons
Authors: Jacques Tits, Richard M. Weiss
Series Title: Springer Monographs in Mathematics
DOI: https://doi.org/10.1007/978-3-662-04689-0
Publisher: Springer Berlin, Heidelberg
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eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 2002
Hardcover ISBN: 978-3-540-43714-7Published: 12 September 2002
Softcover ISBN: 978-3-642-07833-0Published: 05 December 2010
eBook ISBN: 978-3-662-04689-0Published: 09 March 2013
Series ISSN: 1439-7382
Series E-ISSN: 2196-9922
Edition Number: 1
Number of Pages: X, 535
Topics: Geometry, Algebra, Discrete Mathematics, Algebraic Geometry, Group Theory and Generalizations, Combinatorics