International audienceWe show that any simple group of Morley rank 5 is a bad group all of whose proper definable connected subgroups are nilpotent of rank at most 2. The main result is then used to catalog the nonsoluble connected groups of Morley rank 5
Abstract: We exhibit counterexamples to a Conjecture of Nesin, since we build a connected solvable g...
The algebraicity conjecture for simple groups of finite Morley rank, also known as the Cherlin–Zil'b...
Let G be a group in which every non-subnormal subgroup has nite rank. This paper considers the quest...
AbstractLet G be a simple K∗-group of finite Morley rank of odd type which is not algebraic. Then G ...
International audienceThere is no bad group of Morley rank 2n+1 with an abelian Borel subgroup of Mo...
Abstract. IfG is a minimal connected simple group of finite Morley rank with a nontrivial Weyl group...
International audienceWe examine Weyl groups of minimal connected simple groups of finite Morley ran...
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...
AbstractWe consider tame minimal simple groups of finite Morley rank and of odd type. We show that t...
AbstractThere is a longstanding conjecture, due to Gregory Cherlin and Boris Zilber, that all simple...
The algebraicity conjecture for simple groups of finite Morley rank, also known as the Cherlin-Zilbe...
AbstractIn a connected group of finite Morley rank in which, generically, elements belong to connect...
International audienceWe prove that generous non-nilpotent Borel subgroups of connected minimal simp...
International audienceBy analogy with Thompson's classification of nonsolvable finite N-groups, we c...
Abstract: We exhibit counterexamples to a Conjecture of Nesin, since we build a connected solvable g...
The algebraicity conjecture for simple groups of finite Morley rank, also known as the Cherlin–Zil'b...
Let G be a group in which every non-subnormal subgroup has nite rank. This paper considers the quest...
AbstractLet G be a simple K∗-group of finite Morley rank of odd type which is not algebraic. Then G ...
International audienceThere is no bad group of Morley rank 2n+1 with an abelian Borel subgroup of Mo...
Abstract. IfG is a minimal connected simple group of finite Morley rank with a nontrivial Weyl group...
International audienceWe examine Weyl groups of minimal connected simple groups of finite Morley ran...
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...
AbstractWe consider tame minimal simple groups of finite Morley rank and of odd type. We show that t...
AbstractThere is a longstanding conjecture, due to Gregory Cherlin and Boris Zilber, that all simple...
The algebraicity conjecture for simple groups of finite Morley rank, also known as the Cherlin-Zilbe...
AbstractIn a connected group of finite Morley rank in which, generically, elements belong to connect...
International audienceWe prove that generous non-nilpotent Borel subgroups of connected minimal simp...
International audienceBy analogy with Thompson's classification of nonsolvable finite N-groups, we c...
Abstract: We exhibit counterexamples to a Conjecture of Nesin, since we build a connected solvable g...
The algebraicity conjecture for simple groups of finite Morley rank, also known as the Cherlin–Zil'b...
Let G be a group in which every non-subnormal subgroup has nite rank. This paper considers the quest...
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