In a connected group of finite Morley rank, if the Sylow 2-subgroups are finite then they are trivial. The proof involves a combination of model-theoretic ideas with a device originating in black box group theory
Let G be a group generated by the set . Γ ={g ∈ G | g2 = 1 ≠ g} of its involutions. We prove that if...
AbstractThere is a longstanding conjecture, due to Gregory Cherlin and Boris Zilber, that all simple...
We consider infinite locally finite-simple groups (that is, infinite groups in which every finite su...
AbstractThis is the first of two papers whose goal is the proof of the following result: THEOREM. Le...
AbstractThis paper gives a partial answer to the Cherlin–Zil'ber Conjecture, which states that every...
This paper gives a partial answer to the Cherlin-Zil'ber Conjecture, which states that every infinit...
We revisit the geometry of involutions in groups of finite Morley rank. The focus is on specific con...
International audienceBy analogy with Thompson's classification of nonsolvable finite N-groups, we c...
The algebraicity conjecture for simple groups of finite Morley rank, also known as the Cherlin–Zil'b...
Abstract. We have been able to prove that every nonabelian Sylow subgroup of a finite group of even ...
Abstract. Let G be a finite Coxeter group. Using previous results on Weyl groups, and covering the c...
There is a longstanding conjecture, due to Gregory Cherlin and Boris Zilber, that all simple groups ...
International audienceWe examine Weyl groups of minimal connected simple groups of finite Morley ran...
The paper deals with locally finite groups G having an involution phi such that C-G(phi) is of finit...
We propose a uniform approach for recognizing all black box groups of Lie type which is based on the...
Let G be a group generated by the set . Γ ={g ∈ G | g2 = 1 ≠ g} of its involutions. We prove that if...
AbstractThere is a longstanding conjecture, due to Gregory Cherlin and Boris Zilber, that all simple...
We consider infinite locally finite-simple groups (that is, infinite groups in which every finite su...
AbstractThis is the first of two papers whose goal is the proof of the following result: THEOREM. Le...
AbstractThis paper gives a partial answer to the Cherlin–Zil'ber Conjecture, which states that every...
This paper gives a partial answer to the Cherlin-Zil'ber Conjecture, which states that every infinit...
We revisit the geometry of involutions in groups of finite Morley rank. The focus is on specific con...
International audienceBy analogy with Thompson's classification of nonsolvable finite N-groups, we c...
The algebraicity conjecture for simple groups of finite Morley rank, also known as the Cherlin–Zil'b...
Abstract. We have been able to prove that every nonabelian Sylow subgroup of a finite group of even ...
Abstract. Let G be a finite Coxeter group. Using previous results on Weyl groups, and covering the c...
There is a longstanding conjecture, due to Gregory Cherlin and Boris Zilber, that all simple groups ...
International audienceWe examine Weyl groups of minimal connected simple groups of finite Morley ran...
The paper deals with locally finite groups G having an involution phi such that C-G(phi) is of finit...
We propose a uniform approach for recognizing all black box groups of Lie type which is based on the...
Let G be a group generated by the set . Γ ={g ∈ G | g2 = 1 ≠ g} of its involutions. We prove that if...
AbstractThere is a longstanding conjecture, due to Gregory Cherlin and Boris Zilber, that all simple...
We consider infinite locally finite-simple groups (that is, infinite groups in which every finite su...
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