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Overview"""Generalized Polygons"" is the first book to cover, in a coherent manner, the theory of polygons from scratch. In particular, it fills elementary gaps in the literature and gives an up-to-date account of current research in this area, including most proofs, which are often unified and streamlined in comparison to the versions generally known. ""Generalized Polygons"" will be welcomed both by the student seeking an introduction to the subject as well as the researcher who will value the work as a reference. In particular, it will be of great value for specialists working in the field of generalized polygons (which are, incidentally, the rank 2 Tits-buildings) or in fields directly related to Tits-buildings, incidence geometry and finite geometry. The approach taken in the book is of geometric nature, but algebraic results are included and proven (in a geometric way!). A noteworthy feature is that the book unifies and generalizes notions, definitions and results that exist for quadrangles, hexagons, octagons - in the literature very often considered separately - to polygons. Many alternative viewpoints given in the book heighten the sense of beauty of the subject and help to provide further insight into the matter." Full Product DetailsAuthor: Hendrick Van Maldeghem , H. Amann , Jean-Pierre Bourguignon , K. GrovePublisher: Birkhauser Verlag AG Imprint: Birkhauser Verlag AG Volume: v. 93 ISBN: 9783764358648ISBN 10: 3764358645 Pages: 524 Publication Date: October 1998 Audience: College/higher education , Professional and scholarly , Undergraduate , Postgraduate, Research & Scholarly Format: Hardback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsBasic concepts and results; classical polygons; co-ordinatization and further examples; homomorphisms and automorphism groups; the Moufang condition; characterizations; ovoids, spreads and self-dual polygons; projectivities and projective embeddings; topological polygons.Reviewsa ] If you believe that incidence geometry is out of date, this book will prove you wrong. If you are interested in geometry and want to get introduced to fascinating recent concepts, this book will be a good starting point and a trustworthy companion for most of your way. If you are already doing research in incidence geometry, this book will bring you up to date on generalized polygons and provide a very convincing notation. In addition, its bibliography and its almost complete collection of results on generalized polygons will make it an indispensable tool. If you are eager to do some research, the author offers ten open problems. <p>a Zentralblatt Math Author InformationTab Content 6Author Website:Countries AvailableAll regions |
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