eBook - PDF

The Structure of Spherical Buildings

Name: The Structure of Spherical Buildings
ISBN: 9780691216041

Richard M. Weiss,

English
PDF
Available on iOS & Android

eBook - PDF

The Structure of Spherical Buildings

Richard M. Weiss,

About this book

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.

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Yes, you can access The Structure of Spherical Buildings by Richard M. Weiss in PDF and/or ePUB format, as well as other popular books in Economics & Business General. We have over one million books available in our catalogue for you to explore.