On two theorems of finite solvable groups.

DOI10.1007/s10114-004-0357-8zbMath1088.20006OpenAlexW2147271518MaRDI QIDQ2581208

Shi-Rong Li

Publication date: 9 January 2006

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-004-0357-8

zbMATH Keywords

finite solvable groupssolvabilitySylow subgroupssimple groupscomplementsindices of maximal subgroups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Maximal subgroups (20E28) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (4)

Finite \(p\)-groups whose Abelian subgroups have a trivial intersection. ⋮ On finite groups with some semi cover-avoiding subgroups. ⋮ A family of non-quasiprimitive graphs constructed from \(\text{PSU}_3(q)\) where \(q\) is odd ⋮ A remark on \(\mathfrak Z\)-permutability of finite groups.

Cites Work

• Subgroups of prime power index in a simple group
• A Characterization of PSL(2, 7) (I)
• Groups with a Cayley graph isomorphic to a hypercube
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On two theorems of finite solvable groups.