Saturated formations and Sylow structure in locally finite groups

DOI10.1016/0021-8693(71)90029-9zbMath0215.10605OpenAlexW1990276490MaRDI QIDQ2545562

A. D. Gardiner, Brian Hartley, M. J. Tomkinson

Publication date: 1971

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

Full work available at URL: https://doi.org/10.1016/0021-8693(71)90029-9

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Formations of groups, Fitting classes (20F17)

Related Items (31)

Products of Abelian subgroups ⋮ Products of groups and group classes ⋮ Unnamed Item ⋮ Sous-groupes de Carter dans les groupes de rang de Morley fini ⋮ Carter subgroups and injectors in a class of locally finite groups ⋮ Schunck classes and projectors of periodic soluble nilpotent-by-finite groups ⋮ On locally finite groups factorized by locally nilpotent subgroups ⋮ Certain Fitting classes of groups with min-p for all p ⋮ Laws of the lattices of \(\sigma \)-local formations of finite groups ⋮ Periodic locally soluble groups with the minimal condition on centralizers ⋮ Sylow subgroups in a pair of locally finite groups ⋮ Schunck classes and projectors in a class of locally finite groups ⋮ A Frattini-like subgroup ⋮ Infinite groups ⋮ Formation theory in locally finite groups satisfying min-p for all primes p ⋮ Splitting over nilpotent and hypercentral residuals ⋮ Abnormal, Pronormal, Contranormal, and Carter Subgroups in Some Generalized Minimax Groups ⋮ A class of modules over a locally finite group III ⋮ Generalized Hall subgroups in soluble groups of finite Morley rank ⋮ Formation theory and groups of automorphisms of -groups ⋮ Periodic radical products of two locally nilpotent subgroups ⋮ Sylowizers in Locally Finite Groups ⋮ A class of modules over a locally finite group I ⋮ Unnamed Item ⋮ Groups without proper abnormal subgroups ⋮ Some examples of locally finite groups ⋮ Sylow p-subgroups and local p-solubility ⋮ Metanilpotent groups satisfying the minimal condition for normal subgroups ⋮ Abnormal subgroups in solvable groups of finite Morley rank ⋮ Unnamed Item ⋮ Sylow theory of CC-groups

Cites Work

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• Zur Theorie der endlichen auflösbaren Gruppen
• H-Untergruppen in endlichen auflösbaren Gruppen
• The \(\mathfrak F\)-normalizers of a finite soluble group
• Nilpotent self-normalizing subgroups of soluble groups
• Extreme classes of finite soluble groups
• Some examples of locally finite groups
• Residual Properties of Some Classes of Infinite Soluble Groups
• Soluble Periodic Linear Groups
• On Formation Subgroups of a Finite Soluble Group
• Formations of Locally Soluble FC-Groups

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