4 citations · 9 across the 9 of their papers we have counts for
5 papers · 1 filter
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…
Linear groups of finite Morley rank
Alexandre Borovik, Jeffrey Burdges
We show that a non-algebraic simple group of finite Morley rank with a definable representation over a field has no involutions, and otherwise resembles a bad group. In particular,…
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…
Sylow 0-unipotent subgroups in groups of finite Morley rank
Jeffrey Burdges
One of the central tools in the classification of simple algebraic groups is the distinction between semisimple subgroups and unipotent subgroups. It is not a priori clear how to m…
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…