Sylow theory for p = 0 in solvable groups of finite Morley rank
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Publication:5480606
DOI10.1515/JGT.2006.030zbMath1105.20029arXiv0711.4148OpenAlexW2041573422MaRDI QIDQ5480606
Publication date: 3 August 2006
Published in: Journal of Group Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0711.4148
Linear algebraic groups over arbitrary fields (20G15) Applications of logic to group theory (20A15) Subgroup theorems; subgroup growth (20E07) Solvable groups, supersolvable groups (20F16) Simple groups (20E32) Nilpotent groups (20F18) Classification theory, stability, and related concepts in model theory (03C45) Formations of groups, Fitting classes (20F17)
Related Items (10)
The Bender method in groups of finite Morley rank. ⋮ On Weyl groups in minimal simple groups of finite Morley rank. ⋮ Structure of Borel subgroups in simple groups of finite Morley rank. ⋮ Unipotence in positive characteristic for groups of finite Morley rank ⋮ Groups of Finite Morley Rank with Solvable Local Subgroups ⋮ Minimal connected simple groups of finite Morley rank with strongly embedded subgroups. ⋮ On groups of finite Morley rank with a split \(BN\)-pair of rank 1. ⋮ Groups of finite Morley rank with a generically sharply multiply transitive action ⋮ Algebraic ℚ-groups as abstract groups ⋮ Signalizers and balance in groups of finite Morley rank.
Cites Work
- A signalizer functor theorem for groups of finite Morley rank.
- Abnormal subgroups in solvable groups of finite Morley rank
- Tame minimal simple groups of finite Morley rank
- Fields of finite Morley rank
- Generalized Fitting subgroup of a group of finite Morley rank
- Poly-separated and ω-stable nilpotent groups
- The existence of Carter subgroups in groups of finite Morley rank
- Groups of mixed type
- Generalized Hall subgroups in soluble groups of finite Morley rank
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