4 citations · 9 across the 9 of their papers we have counts for
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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…
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…
The Bender method in groups of finite Morley rank
Jeffrey Burdges
Jaligot's Lemma states that the Fitting subgroups of distinct Borel subgroups do not intersect in a tame minimal simple groups of finite Morley. Such a strong result appears hopele…