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Conjugacy of Carter subgroups in groups of finite Morley rank
Journal of Mathematical Logic 8 (1):41-92 (2008)
Abstract
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 analogous to Cartan subgroups in algebraic groups.Links
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Citations of this work
Ω-stability and Morley rank of bilinear maps, rings and nilpotent groups.Alexei G. Myasnikov & Mahmood Sohrabi - 2017 - Journal of Symbolic Logic 82 (2):754-777.
References found in this work
Nilpotent complements and Carter subgroups in stable ℜ-groups.Frank O. Wagner - 1994 - Archive for Mathematical Logic 33 (1):23-34.
On Lascar rank and Morley rank of definable groups in differentially closed fields.Anand Pillay & Wai Yan Pong - 2002 - Journal of Symbolic Logic 67 (3):1189-1196.
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