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Local identification of spherical buildings and finite simple groups of Lie type
Published online by Cambridge University Press: 07 February 2013
Abstract
We give a short proof of the uniqueness of finite spherical buildings of rank at least 3 in terms of the structure of the rank 2 residues and use this result to prove a result making it possible to identify an arbitrary finite group of Lie type from knowledge of its “parabolic structure” alone. Our proof also involves a connection between loops, “Latin chamber systems” and buildings.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 154 , Issue 3 , May 2013 , pp. 527 - 547
- Copyright
- Copyright © Cambridge Philosophical Society 2013
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