6533b856fe1ef96bd12b27f6

RESEARCH PRODUCT

Sylow permutable subnormal subgroups of finite groups II

Adolfo Ballester-bolinchesRamon Esteban-romero

subject

Permutability conditionsTransitive relationClass (set theory)Soluble groupGeneral MathematicsSubnormal p'-perfect subgroupSylow theoremsStructure (category theory)Grups Teoria dePst_p-groupHall subgroupsCombinatoricsLocally finite groupComponent (group theory)ÀlgebraPermutable primeAlgebra over a fieldMathematics

description

[EN] In this paper a local version of Agrawal's theorem about the structure of finite groups in which Sylow permutability is transitive is given. The result is used to obtain new characterisations of this class of finite groups.

https://doi.org/10.1017/s0004972700019948