Fusion and dihedral 2-subgroups

DOI10.1016/0021-8693(76)90093-4zbMath0338.20027OpenAlexW1992731147MaRDI QIDQ1230989

Jonathan I. Hall

Publication date: 1976

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

Full work available at URL: https://doi.org/10.1016/0021-8693(76)90093-4

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Special subgroups (Frattini, Fitting, etc.) (20D25) Abstract finite groups (20D99) Finite nilpotent groups, (p)-groups (20D15)

Related Items (14)

Über den schwachen Abschluß von TI-Untergruppen in ihrem Normalisator ⋮ Finite groups with a strongly closed 2-subgroup, whose commutator subgroup is cyclic ⋮ Finite groups acting on hyperelliptic 3-manifolds ⋮ Some results on pushing up in finite groups ⋮ Finite groups with Sylow 2-subgroups of type \(L_ 6(\)q),q=3(mod 4) ⋮ Finite groups with dihedral Sylow 2-subgroups ⋮ Characteristic 2-type groups with a strongly closed 2-subgroup of class at most two ⋮ Finite groups with a centralizer of order 6. II ⋮ Weakly closed eights-groups in characteristic 2-type groups ⋮ Finite groups which possess a strongly closed 2-subgroup of class at most two. I, II ⋮ Finite groups ⋮ On factorizable groups ⋮ Tightly embedded subgroups of finite groups ⋮ Locally finite \(Syl^*_ p\)-groups

Cites Work

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• Finite groups whose Sylow 2-subgroups are the direct product of a dihedral and a semi-dihedral group
• Solvability of groups of odd order
• Central elements in core-free groups
• The characterization of finite groups with dihedral Sylow 2-subgroups. III
• On groups with abelian Sylow 2-subgroups
• Transitive Gruppen gerader Ordnung, in denen jede Involution genau einen Punkt fest läßt
• Finite groups whose Sylow 2-subgroups are the direct product of two dihedral groups
• Solvable signalizer functors on finite groups
• 2-signalizer functors on finite groups
• Weakly embedded 2-local subgroups of finite groups
• Endliche Gruppen I
• Finite Groups with Quasi-Dihedral and Wreathed Sylow 2-Subgroups
• A Condition for the Existence of a Strongly Embedded Subgroup
• Schur multipliers of the known finite simple groups

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