AbstractIn a connected group of finite Morley rank in which, generically, elements belong to connected nilpotent subgroups, proper normalizing cosets of definable subgroups are not generous. We explain why this is true and what consequences this has for the abstract theory of Weyl groups in groups of finite Morley rank
The study of groups by imposing conditions on the set of their normal subgroups is a theme which has...
Abstract: We exhibit counterexamples to a Conjecture of Nesin, since we build a connected solvable g...
Der Coset Poset ist die Menge aller Rechtsnebenklassen aller echten Untergruppen zusammen mit der Te...
AbstractIn a connected group of finite Morley rank in which, generically, elements belong to connect...
We prove a non-generosity theorem for proper cosets in groups of finite Morley rank and elaborate on...
International audienceWe prove that generous non-nilpotent Borel subgroups of connected minimal simp...
International audienceWe examine Weyl groups of minimal connected simple groups of finite Morley ran...
We prove conjugacy and generic disjointness of generous Carter subgroups in groups of finite Morley ...
Let G be a finite group, N a normal subgroup of G and K a conjugacy class of G. We prove that if K∪K...
Bux K-U, Welsch C. Coset posets of infinite groups. JOURNAL OF GROUP THEORY. 2020;23(4):593-605.We c...
Abstract. IfG is a minimal connected simple group of finite Morley rank with a nontrivial Weyl group...
International audienceWe show that any simple group of Morley rank 5 is a bad group all of whose pro...
The paper contains a final identification theorem for the 'generic' K*-groups of finite Morley rank
AbstractIt is shown that the coset lattice of a finite group has shellable order complex if and only...
We prove that a K-approximate subgroup of an arbitrary torsion-free nilpotent group can be covered b...
The study of groups by imposing conditions on the set of their normal subgroups is a theme which has...
Abstract: We exhibit counterexamples to a Conjecture of Nesin, since we build a connected solvable g...
Der Coset Poset ist die Menge aller Rechtsnebenklassen aller echten Untergruppen zusammen mit der Te...
AbstractIn a connected group of finite Morley rank in which, generically, elements belong to connect...
We prove a non-generosity theorem for proper cosets in groups of finite Morley rank and elaborate on...
International audienceWe prove that generous non-nilpotent Borel subgroups of connected minimal simp...
International audienceWe examine Weyl groups of minimal connected simple groups of finite Morley ran...
We prove conjugacy and generic disjointness of generous Carter subgroups in groups of finite Morley ...
Let G be a finite group, N a normal subgroup of G and K a conjugacy class of G. We prove that if K∪K...
Bux K-U, Welsch C. Coset posets of infinite groups. JOURNAL OF GROUP THEORY. 2020;23(4):593-605.We c...
Abstract. IfG is a minimal connected simple group of finite Morley rank with a nontrivial Weyl group...
International audienceWe show that any simple group of Morley rank 5 is a bad group all of whose pro...
The paper contains a final identification theorem for the 'generic' K*-groups of finite Morley rank
AbstractIt is shown that the coset lattice of a finite group has shellable order complex if and only...
We prove that a K-approximate subgroup of an arbitrary torsion-free nilpotent group can be covered b...
The study of groups by imposing conditions on the set of their normal subgroups is a theme which has...
Abstract: We exhibit counterexamples to a Conjecture of Nesin, since we build a connected solvable g...
Der Coset Poset ist die Menge aller Rechtsnebenklassen aller echten Untergruppen zusammen mit der Te...
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