49 citations · 185 across the 47 of their papers we have counts for
3 papers · 1 filter
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…
Uniqueness cases in odd type groups of finite Morley rank
Alexandre Borovik, Jeffrey Burdges, Ali Nesin
Here we analyze a proper 2-generated core in a minimal counter example to the Cherlin-Zilber Algebraicity Conjecture for simple groups of finite Morley rank. We ultimately show tha…
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…