6533b821fe1ef96bd127af41

RESEARCH PRODUCT

Sylow permutable subnormal subgroups of finite groups

Adolfo Ballester-bolinchesRamon Esteban-romero

subject

Complement (group theory)Finite groupAlgebra and Number TheorySylow theoremsGrups Teoria deExtension (predicate logic)CombinatoricsSubnormal subgroupMathematics::Group TheoryLocally finite groupPermutable subgroupComponent (group theory)ÀlgebraPermutable primeFinite groupMATEMATICA APLICADASubnormal subgroupMathematics

description

[EN] An extension of the well-known Frobenius criterion of p-nilpotence in groups with modular Sylow p-subgroups is proved in the paper. This result is useful to get information about the classes of groups in which every subnormal subgroup is permutable and Sylow permutable.

10.1006/jabr.2001.9138https://hdl.handle.net/10251/18473