CONJUGACY OF CARTER SUBGROUPS IN GROUPS OF FINITE MORLEY RANK

OLIVIER FRÉCON
2008 Journal of Mathematical Logic  
The Cherlin-Zil'ber Conjecture states that all simple groups of finite Morley rank are algebraic. We prove that any minimal counterexample to this conjecture has a unique conjugacy class of Carter subgroups, which are defined as being the definable connected nilpotent subgroups of finite index in their normalizers, and which are analogous to Cartan subgroups in algebraic groups.
doi:10.1142/s0219061308000713 fatcat:f2tl73ztmnh73fq3gugwtgx4cy