1 citations · 1 across the 5 of their papers we have counts for
5 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…
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…
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…
Borovik-Poizat rank and stability
Jeffrey Burdges, Gregory Cherlin
There is an axiomatic treatment of Morley rank in groups, due to Borovik and Poizat. These axioms form the basis of the algebraic treatment of groups of finite Morley rank which is…