Finite simple groups admitting a partition for the elements of prime-power order

DOI10.1515/JGT.2006.015zbMath1096.20018OpenAlexW2047797865MaRDI QIDQ5471279

Pablo Spiga

Publication date: 6 June 2006

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jgt.2006.015

zbMATH Keywords

partitionsfinite simple groupssharp permutation groupselements of prime-power order

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Series and lattices of subgroups (20D30) Finite simple groups and their classification (20D05)

Cites Work

• Partitionen endlicher Gruppen
• Singer-Zyklen in klassischen Gruppen
• Non-Abelian sharp permutation \(p\)-groups.
• A criterion for the existence of a non-trivial partition of a finite group with applications to finite reflection groups
• The characterization of finite groups with abelian Sylow 2-subgroups
• The characterization of finite groups with dihedral Sylow 2-subgroups. I, II
• Transitive Gruppen gerader Ordnung, in denen jede Involution genau einen Punkt fest läßt
• ON FINITE GROUPS OF EVEN ORDER WHOSE 2-SYLOW GROUP IS A QUATERNION GROUP
• On permutation groups of finite type

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