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CIT Groups of Finite Morley Rank (I)

✍ Scribed by A.V. Borovik; M.J. Debonis; A. Nesin


Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
631 KB
Volume
165
Category
Article
ISSN
0021-8693

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πŸ“œ SIMILAR VOLUMES


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.

Groups of Finite Morley Rank with Strong
✍ Tuna Altinel πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 295 KB

In this paper we prove the following theorem: THEOREM 1.5. Let G be an infinite, simple, K \*-group of finite Morley rank with a strongly embedded subgroup M. Assume that the Sylow 2-subgroups of G ha¨e infinitely many commuting in¨olutions. Then M is sol¨able. Ž . If, in addition, G is tame, then

Groups of small Morley rank
✍ Gregory Cherlin πŸ“‚ Article πŸ“… 1979 πŸ› Elsevier Science βš– 957 KB
The Classical Involution Theorem for Gro
✍ Ayşe Berkman πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 168 KB

This paper gives a partial answer to the Cherlin᎐Zil'ber Conjecture, which states that every infinite simple group of finite Morley rank is isomorphic to an algebraic group over an algebraically closed field. The classification of the generic case of tame groups of odd type follows from the main res