4 citations · 9 across the 9 of their papers we have counts for
9 papers
Semisimple torsion in groups of finite Morley rank
Jeffrey Burdges, Gregory Cherlin
We prove several results about groups of finite Morley rank without unipotent p-torsion: p-torsion always occurs inside tori, Sylow p-subgroups are conjugate, and p is not the mini…
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,…
A generation theorem for groups of finite Morley rank
Jeffrey Burdges, Gregory Cherlin
We deal with two forms of the "uniqueness cases" in the classification of large simple -groups of finite Morley rank of odd type, where large means the at least three…
A New Trichotomy Theorem
Alexandre Borovik, Jeffrey Burdges
We show that a minimal counter example to the Cherlin-Zilber Algebraicity Conjecture for simple groups of finite Morley rank has normal 2-rank at most two, which is a tameness free…
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…
Minimal connected simple groups of finite Morley rank with strongly embedded subgroups
Jeffrey Burdges, Gregory Cherlin, Eric Jaligot
We show that a minimal nonalgebraic simple groups of finite Morley rank has Prufer rank at most 2, and eliminates tameness from Cherlin and Jaligot's past work on minimal simple gr…