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On groups of finite Morley rank of even type

✍ Scribed by Tuna Altınel; Gregory Cherlin

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
243 KB
Volume
264
Category
Article
ISSN
0021-8693

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📜 SIMILAR VOLUMES

An identification theorem for groups of
An identification theorem for groups of finite Morley rank and even type
✍ Ayşe Berkman; Alexandre V. Borovik 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 84 KB

The paper contains a construction of a definable BN-pair in a simple group of finite Morley rank and even type with a sufficiently good system of 2-local parabolic subgroups. This provides 'the final identification theorem' for simple groups of finite Morley rank and even type.

Groups of Finite Morley Rank and Even Ty
Groups of Finite Morley Rank and Even Type with Strongly Closed Abelian Subgroups
✍ Tuna Altınel; Alexandre Borovik; Gregory Cherlin 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 279 KB

Conjecture 1 (Even Type Conjecture). Let G be a simple group of finite Morley rank of even type, with no infinite definable simple section of degenerate type. Then G is algebraic.

CIT Groups of Finite Morley Rank (II)
CIT Groups of Finite Morley Rank (II)
✍ A.V. Borovik; A. Nesin 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 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.