The Structure of Spherical Buildings is popular PDF and ePub book, written by Richard M. Weiss in 2020-07-21, it is a fantastic choice for those who relish reading online the Business & Economics genre. Let's immerse ourselves in this engaging Business & Economics book by exploring the summary and details provided below. Remember, The Structure of Spherical Buildings can be Read Online from any device for your convenience.
The Structure of Spherical Buildings Book PDF Summary
This book provides a clear and authoritative introduction to the theory of buildings, a topic of central importance to mathematicians interested in the geometric aspects of group theory. Its detailed presentation makes it suitable for graduate students as well as specialists. Richard Weiss begins with an introduction to Coxeter groups and goes on to present basic properties of arbitrary buildings before specializing to the spherical case. Buildings are described throughout in the language of graph theory. The Structure of Spherical Buildings includes a reworking of the proof of Jacques Tits's Theorem 4.1.2. upon which Tits's classification of thick irreducible spherical buildings of rank at least three is based. In fact, this is the first book to include a proof of this famous result since its original publication. Theorem 4.1.2 is followed by a systematic study of the structure of spherical buildings and their automorphism groups based on the Moufang property. Moufang buildings of rank two were recently classified by Tits and Weiss. The last chapter provides an overview of the classification of spherical buildings, one that reflects these and other important developments.
Detail Book of The Structure of Spherical Buildings PDF
- Author : Richard M. Weiss
- Release : 21 July 2020
- Publisher : Princeton University Press
- ISBN : 9780691216041
- Genre : Business & Economics
- Total Page : 154 pages
- Language : English
- PDF File Size : 17,7 Mb
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