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Buildings: Theory and Applications

Buildings: Theory and Applications

Paperback

Series: Graduate Texts in Mathematics, Book 248

AlgebraGeneral MathematicsGeometry

ISBN10: 1441927018
ISBN13: 9781441927019
Publisher: Springer
Published: Nov 19 2010
Pages: 754
Weight: 2.35
Height: 1.54 Width: 6.14 Depth: 9.21
Language: English
This text started out as a revised version of Buildings by the second-named author [53], but it has grown into a much more voluminous book. The earlier book was intended to give a short, friendly, elementary introduction to theory, accessible to readers with a minimal background.Moreover, it approached buildings from only one point of view, sometimes called the old-fashioned approach: A building is a simplicial complex with certain properties. The current book includes all the material of the earlier one, but we have added a lot. In particular, we have included the modern (or W-metric) approach to buildings, which looks quite different from the old-fashioned approach but is equivalent to it. This has become increasingly important in the theory and applications of buildings. We have also added a thorough treatment of the Moufang property, which occupies two chapters. And we have added many new exercises and illustrations. Some of the exercises have hints or solutions in the back of the book. A more extensive set of solutions is available in a separate solutions manual, which may be obtained from Springer's Mathematics Editorial Department. We have tried to add the new material in such a way that readers who are content with the old-fashioned approach can still get an elementary treatment of it by reading selected chapters or sections. In particular, many readers will want to omit the optional sections (marked with a star). The introduction below provides more detailed guidance to the reader.

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Abramenko, Peter

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