International audienceWe lay down the fundations of the theory of groups of finite Morley rank in which local subgroups are solvable and we proceed to the local analysis of these groups. We prove a main Uniqueness Theorem, analogous to the Bender method in finite group theory, and derive its corollaries. We also consider homogeneous cases and study torsion
We study locally graded groups whose non-modular subgroups are soluble and satisfy some rank conditi...
Some classes of periodical groups and M3p1-groups are considered in the paper aiming at the property...
AbstractLet G be a simple K∗-group of finite Morley rank of odd type which is not algebraic. Then G ...
International audienceWe prove a general dichotomy theorem for groups of finite Morley rank with sol...
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...
In this paper, the structure of locally finite groups of infinite rank whose subgroups of infinite r...
AbstractWe study the class of locally (soluble-by-finite) groups in which all proper subgroups are s...
In this paper the authors study the class of locally graded groups all of whose subgroups are permut...
The algebraicity conjecture for simple groups of finite Morley rank, also known as the Cherlin–Zil'b...
We investigate faithful representations of Alt(n) as automorphisms of a connected group G of finite ...
The algebraicity conjecture for simple groups of finite Morley rank, also known as the Cherlin-Zilbe...
Chapitre invité dans un ouvrage à paraître. N'a pas encore été relu par nos pairs.The present survey...
International audienceGroups of finite Morley rank generalize algebraic groups; the simple ones have...
In this paper, we shall mainly study the p-solvable finite group in terms of p-local rank, and a gro...
We study locally graded groups whose non-modular subgroups are soluble and satisfy some rank conditi...
Some classes of periodical groups and M3p1-groups are considered in the paper aiming at the property...
AbstractLet G be a simple K∗-group of finite Morley rank of odd type which is not algebraic. Then G ...
International audienceWe prove a general dichotomy theorem for groups of finite Morley rank with sol...
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...
In this paper, the structure of locally finite groups of infinite rank whose subgroups of infinite r...
AbstractWe study the class of locally (soluble-by-finite) groups in which all proper subgroups are s...
In this paper the authors study the class of locally graded groups all of whose subgroups are permut...
The algebraicity conjecture for simple groups of finite Morley rank, also known as the Cherlin–Zil'b...
We investigate faithful representations of Alt(n) as automorphisms of a connected group G of finite ...
The algebraicity conjecture for simple groups of finite Morley rank, also known as the Cherlin-Zilbe...
Chapitre invité dans un ouvrage à paraître. N'a pas encore été relu par nos pairs.The present survey...
International audienceGroups of finite Morley rank generalize algebraic groups; the simple ones have...
In this paper, we shall mainly study the p-solvable finite group in terms of p-local rank, and a gro...
We study locally graded groups whose non-modular subgroups are soluble and satisfy some rank conditi...
Some classes of periodical groups and M3p1-groups are considered in the paper aiming at the property...
AbstractLet G be a simple K∗-group of finite Morley rank of odd type which is not algebraic. Then G ...
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