19 citations · 51 across the 18 of their papers we have counts for
8 papers · 1 filter
Uniqueness Cases in Odd Type Groups of Finite Morley Rank, Revisited
Alexandre Borovik, Jeffrey Burdges, Ali Nesin
The paper contains versions of the Strong Embedding Theorem and the Uniqueness Subgroup Theorem for groups of finite Morley rank and odd type which are needed for the study of perm…
Weyl groups of small groups of finite Morley rank
Jeffrey Burdges, Adrien Deloro
We examine Weyl groups of minimal connected simple groups of finite Morley rank of degenerate type. We show that they are cyclic, and lift isomorphically to subgroups of the ambien…
On Frattini arguments in L-groups of finite Morley rank
Jeffrey Burdges
We modify the Frecon-Jaligot construction of Carter subgroups to show that a degenerate type group has a Carter subgroup invariant under the Sylow 2-subgroup of a group of automorp…
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…
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…