10 citations · 25 across the 11 of their papers we have counts for
11 papers
Involutive automorphisms of groups of finite Morley rank
Adrien Deloro, Eric Jaligot
We classify a large class of small groups of finite Morley rank: -groups which are the infinite analogues of Thompson's -groups. More precisely, we constrain the…
Lie rank in groups of finite Morley rank with solvable local subgroups
Adrien Deloro, Eric Jaligot
We prove a general dichotomy theorem for groups of finite Morley rank with solvable local subgroups and of Prüfer p-rank at least 2, leading either to some p-strong embedding, or t…
Two remarks on elementary theories of groups obtained by free constructions
Eric Jaligot
We give two slight generalizations of results of Poizat about elementary theories of groups obtained by free constructions. The first-one concerns the non-superstability of such gr…
Cartan subgroups of groups definable in o-minimal structures
Elias Baro, Eric Jaligot, Margarita Otero
We prove that groups definable in o-minimal structures have Cartan subgroups, and only finitely many conjugacy classes of such subgroups. We also delineate with precision how these…
Commutators in groups definable in o-minimal structures
E. Baro, E. Jaligot, M. Otero
We prove the definability, and actually the finiteness of the commutator width, of many commutator subgroups in groups definable in o-minimal structures. It applies in particular t…
Makanin-Razborov Diagrams over Free Products
E. Jaligot, Z. Sela
This paper is the first in a sequence on the first order theory of free products. In the first paper we generalize the analysis of systems of equations over free and (torsion-free)…