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The Structure of Spherical Buildings
Engelsk Hardback
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The Structure of Spherical Buildings

Engelsk Hardback

737 kr
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Om denne bog

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.



Product detaljer
Sprog:
Engelsk
Sider:
144
ISBN-13:
9780691117331
Indbinding:
Hardback
Udgave:
ISBN-10:
0691117330
Udg. Dato:
25 jan 2004
Længde:
0mm
Bredde:
152mm
Højde:
235mm
Forlag:
Princeton University Press
Oplagsdato:
25 jan 2004
Forfatter(e):
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