Jan 25, 2008 · Abstract: We prove several results about groups of finite Morley rank without unipotent p-torsion: p-torsion always occurs inside tori, ...
Semisimple Torsion in Groups of Finite Morley Rank 187. Lemma 1.3. Let G be a connected group of finite Morley rank, and T0 a maximal decent torus. Then an ...
The paper bounds the Morley rank of a definably primitive permutation group of finite Morley rank in terms of the rank of the set on which it acts.
We prove several results about groups of finite Morley rank without unipotent p-torsion: p-torsion always occurs inside tori, Sylow p-subgroups are ...
Abstract: We prove several results about groups of finite Morley rank without unipotent p-torsion: p-torsion always occurs inside tori, Sylow p-subgroups ...
We prove several results about groups of finite Morley rank without unipotent p-torsion: p-torsion always occurs inside tori, Sylow p-subgroups are ...
Nov 19, 2018 · A definable subgroup of a group of fMr is called a decent torus if it is divisible, abelian, and equal to the definable hull of its torsion ...
The central question about groups of finite Morley rank is the Cherlin-Zil'ber. Conjecture, which states that the infinite simple ones are algebraic.
Theorem (Burdges-Altınel). The centralizer of a divisible torsion subgroup is connected. Corollary. If there are no p-unipotent subgroups, then any p-element.
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Semisimple torsion in groups of finite Morley rank. Submitted. (2008). [4] O. Frécon. Pseudo-tori and subtame groups of finite Morley rank. J. Group Theory 12.