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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…
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…
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…
Universal graphs with a forbidden subtree
Gregory Cherlin, Saharon Shelah
We show that the problem of the existence of universal graphs with specified forbidden subgraphs can be systematically reduced to certain critical cases by a simple pruning techniq…