AbstractWe prove the following theorem: Let G be a connected centerless non-solvable group of Morley rank 3 whose proper definable subgroups have rank ⩽1. Then G has no involutions and for all x ϵ G, CG(x) is connected. Our method permits us to deduce that SOn(R) is not stable for n ⩾ 3
AbstractThis is the first of two papers whose goal is the proof of the following result: THEOREM. Le...
International audienceWe prove that generous non-nilpotent Borel subgroups of connected minimal simp...
International audienceSufficient conditions are given for groups of finite Morley rank having non-tr...
AbstractWe prove the following theorem: Let G be a connected centerless non-solvable group of Morley...
AbstractWe prove the following theorem: The commutator subgroup of a solvable connected group of fin...
Abstract: We exhibit counterexamples to a Conjecture of Nesin, since we build a connected solvable g...
International audienceWe show that any simple group of Morley rank 5 is a bad group all of whose pro...
AbstractThis paper gives a partial answer to the Cherlin–Zil'ber Conjecture, which states that every...
AbstractLet G be a simple K∗-group of finite Morley rank of odd type which is not algebraic. Then G ...
International audienceBy analogy with Thompson's classification of nonsolvable finite N-groups, we c...
AbstractWe consider tame minimal simple groups of finite Morley rank and of odd type. We show that t...
International audienceWe prove a general dichotomy theorem for groups of finite Morley rank with sol...
The algebraicity conjecture for simple groups of finite Morley rank, also known as the Cherlin–Zil'b...
Chapitre invité dans un ouvrage à paraître. N'a pas encore été relu par nos pairs.The present survey...
We study the structure of subgroups of minimal connected simple groups of finite Morley rank. We fir...
AbstractThis is the first of two papers whose goal is the proof of the following result: THEOREM. Le...
International audienceWe prove that generous non-nilpotent Borel subgroups of connected minimal simp...
International audienceSufficient conditions are given for groups of finite Morley rank having non-tr...
AbstractWe prove the following theorem: Let G be a connected centerless non-solvable group of Morley...
AbstractWe prove the following theorem: The commutator subgroup of a solvable connected group of fin...
Abstract: We exhibit counterexamples to a Conjecture of Nesin, since we build a connected solvable g...
International audienceWe show that any simple group of Morley rank 5 is a bad group all of whose pro...
AbstractThis paper gives a partial answer to the Cherlin–Zil'ber Conjecture, which states that every...
AbstractLet G be a simple K∗-group of finite Morley rank of odd type which is not algebraic. Then G ...
International audienceBy analogy with Thompson's classification of nonsolvable finite N-groups, we c...
AbstractWe consider tame minimal simple groups of finite Morley rank and of odd type. We show that t...
International audienceWe prove a general dichotomy theorem for groups of finite Morley rank with sol...
The algebraicity conjecture for simple groups of finite Morley rank, also known as the Cherlin–Zil'b...
Chapitre invité dans un ouvrage à paraître. N'a pas encore été relu par nos pairs.The present survey...
We study the structure of subgroups of minimal connected simple groups of finite Morley rank. We fir...
AbstractThis is the first of two papers whose goal is the proof of the following result: THEOREM. Le...
International audienceWe prove that generous non-nilpotent Borel subgroups of connected minimal simp...
International audienceSufficient conditions are given for groups of finite Morley rank having non-tr...
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