On the subnormalizer of a \(p\)-subgroup

DOI10.1016/0022-4049(92)90139-7zbMath0746.20014OpenAlexW2075480926MaRDI QIDQ1183350

Carlo Casolo

Publication date: 28 June 1992

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(92)90139-7

zbMATH Keywords

Möbius inversion formulafinite groupsubnormalizernumber of Sylow \(p\)-subgroupspartially ordered set of \(p\)-subgroups

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) Subnormal subgroups of abstract finite groups (20D35)

Related Items

Subnormalizers and solvability in finite groups ⋮ On the number of \(p\)-elements in a finite group ⋮ Subnormalizers and the degree of nilpotence in finite groups

Cites Work

• Homotopy properties of the poset of nontrivial p-subgroups of a group
• [https://portal.mardi4nfdi.de/wiki/Publication:5731810 On the foundations of combinatorial theory I. Theory of M�bius Functions]
• Subnormalizers in finite groups
• On the Möbius function of a finite group
• Unnamed Item