We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Local identification of spherical buildings and finite simple groups of Lie type.
- Authors
MEIERFRANKENFELD, ULRICH; STROTH, GERNOT; WEISS, RICHARD M.
- 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.
- Subjects
IDENTIFICATION (Statistics); SPHERICAL buildings; FINITE simple groups; LIE groups; MATHEMATICAL proofs; MATHEMATICAL analysis
- Publication
Mathematical Proceedings of the Cambridge Philosophical Society, 2013, Vol 154, Issue 3, p527
- ISSN
0305-0041
- Publication type
Article
- DOI
10.1017/S0305004113000078