Submission date: 12 December 2007

Abstract:

We prove that any minimal counterexample to the Cherlin-Zil'ber 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.

Mathematics Subject Classification: 03C60, 20E32

Keywords and phrases: Cherlin-Zil'ber Conjecture, Carter subgroups

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