Borovik-Poizat Rank and Stability

: 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 common today. There are, however, ranked structures, i.e. structures on which a Borovik-Poizat rank function is defined, which are not 0-stable. Poizat raised the issue of the relationship between this notion of rank and stability theory in the following terms : ". . . un groupe de Borovik est une structure stable, alors qu'un univers rang

• Type: Journal
• Year: 2002
• Where: JSYML
• Authors: Jeffrey Burdges, Gregory L. Cherlin
• Keywords: JSYML 2002, Morley Rank, Signalizer Functor, Solvable Signalizer Functor