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The Classical Involution Theorem for Groups of Finite Morley Rank

open access: yesJournal of Algebra, 2001
The paper is part of the ongoing project of classification of infinite simple groups of finite Morley rank. The Cherlin-Zilber conjecture states that any such group is an algebraic group over an algebraically closed field. The main result of the paper is an analogue, for groups of finite Morley rank, of \textit{M.
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Groups of Finite Morley Rank with Strongly Embedded Subgroups

open access: yesJournal of Algebra, 1996
The paper deals with the Cherlin-Zil'ber conjecture, the central problem in the area of groups of finite Morley rank. (The state of the art has been presented in the book of \textit{A. Borovik} and \textit{A. Nesin} [Groups of finite Morley rank, Clarendon Press, Oxford (1994; Zbl 0816.20001)].) The conjecture states that any infinite simple group of ...
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Finite group actions on abelian groups of finite Morley rank

open access: yesModel Theory
Expanded and corrected in comparison with previous ...
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