p-SOLVABILITY AND A GENERALIZATION OF PRIME GRAPHS OF FINITE GROUPS

DOI10.1081/AGB-120013208zbMath0997.20022MaRDI QIDQ4532446

Nobuo Iiyori

Publication date: 14 August 2002

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

zbMATH Keywords

Hall subgroupsfinite groups\(p\)-solvable groupssimple groupsgeneralized prime graphssimple factor groups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Finite simple groups and their classification (20D05)

Related Items (7)

Hall Graph of a Finite Group ⋮ Thompson-like characterization of solubility for products of finite groups ⋮ On the product of a nilpotent group and a group with non-trivial center. ⋮ Unnamed Item ⋮ Criteria for the solubility and non-simplicity of finite groups. ⋮ On the Soluble Graph of a Finite Simple Group ⋮ Factorizations of groups and related topics.

Cites Work

• A conjecture of Frobenius and the simple groups of Lie type. I
• The centralizers of semisimple elements of the Chevalley groups \(E_ 7\) and \(E_ 8\)
• Changing the order of partial differentiation
• A conjecture of Frobenius and the simple groups of Lie type. II
• The maximal subgroups of the Steinberg triality groups \(3D_ 4(q)\) and their automorphism groups
• Prime graph components of finite groups
• Finite groups whose element orders are consecutive integers
• A conjecture of Frobenius and the simple groups of Lie type. III
• A conjecture of Frobenius and the simple groups of Lie type. IV
• A generalization of prime graphs of finite groups
• The conjugate classes of Chevalley groups of type \((G_2)\)
• On a class of doubly transitive groups
• Prime graph components of the simple groups of Lie type over the field of even characteristic

This page was built for publication: p-SOLVABILITY AND A GENERALIZATION OF PRIME GRAPHS OF FINITE GROUPS