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Fields of Finite Morley Rank

✍ Scribed by Frank Wagner


Book ID
124978695
Publisher
Association for Symbolic Logic
Year
2001
Tongue
English
Weight
130 KB
Volume
66
Category
Article
ISSN
0022-4812

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πŸ“œ SIMILAR VOLUMES


Split BN-pairs of finite Morley rank
✍ Katrin Tent πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 270 KB

Let G be a simple group of ÿnite Morley rank with a deÿnable BN-pair of (Tits) rank 2 where B = UT for T = B ∩ N and U a normal subgroup of B with Z(U ) = 1. By (Forum Math. 13 (2001) 853) the Weyl group W = N=T has cardinality 2n with n = 3; 4; 6; 8 or 12. We prove here: Theorem 1. If n = 3, then

CIT Groups of Finite Morley Rank (I)
✍ A.V. Borovik; M.J. Debonis; A. Nesin πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 631 KB
CIT Groups of Finite Morley Rank (II)
✍ A.V. Borovik; A. Nesin πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 815 KB

We prove that an infinite simple CIT groups of finite Morley rank is isomorphic to \(S L_{2}(K)\) for some algebraically closed field of characteristic 2 . 1994 Academic Press, Inc.