49 citations · 185 across the 47 of their papers we have counts for
4 papers · 1 filter
Binding groups, permutations groups and modules of finite Morley rank
Alexandre Borovik, Adrien Deloro
The present survey aims at being a list of Conjectures and Problems in an area of model-theoretic algebra wide open for research, not a list of known results. To keep the text comp…
An integer construction of infinitesimals: Toward a theory of Eudoxus hyperreals
Alexandre Borovik, Renling Jin, Mikhail G. Katz
A construction of the real number system based on almost homomorphisms of the integers Z was proposed by Schanuel, Arthan, and others. We combine such a construction with the ultra…
Linear groups of finite Morley rank
Alexandre Borovik, Jeffrey Burdges
We show that a non-algebraic simple group of finite Morley rank with a definable representation over a field has no involutions, and otherwise resembles a bad group. In particular,…
Involutions in groups of finite Morley rank of degenerate type
Alexandre Borovik, Jeffrey Burdges, Gregory Cherlin
This article proves a version of the Feit-Thompson theorem for simple groups of finite Morley rank: a connected groups of finite Morley rank with a finite Sylow 2-subgroup has a tr…