Generalized Hall subgroups in soluble groups of finite Morley rank

DOI10.1006/jabr.2000.8437zbMath0971.20021OpenAlexW1988755591MaRDI QIDQ5925800

Frécon, Olivier

Publication date: 3 May 2001

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.2000.8437

zbMATH Keywords

Carter subgroupsdefinable-by-(locally finite) subgroupselements of infinite ordergeneralized centralisersHall subgroupsquasi-unipotent radicalssoluble groupsSylow bases

Mathematics Subject Classification ID

Applications of logic to group theory (20A15) Subgroup theorems; subgroup growth (20E07) Maximal subgroups (20E28) Solvable groups, supersolvable groups (20F16) Periodic groups; locally finite groups (20F50)

Related Items (7)

The Bender method in groups of finite Morley rank. ⋮ Sous-groupes de Carter dans les groupes de rang de Morley fini ⋮ Structure of Borel subgroups in simple groups of finite Morley rank. ⋮ Linear representations of soluble groups of finite Morley rank ⋮ Linearity of groups definable in o-minimal structures ⋮ Around unipotence in groups of finite Morley rank ⋮ Sylow theory for p = 0 in solvable groups of finite Morley rank

Cites Work

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• On the Schur-Zassenhaus theorem for groups of finite Morley rank
• Группы и кольца, теория которых категорична
• Schur-Zassenhaus theorem revisited
• A Hall Theorem for ω-Stable Groups
• On Solvable Groups of Finite Morley Rank
• Groups of mixed type

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