6533b85afe1ef96bd12b8b40
RESEARCH PRODUCT
On finite soluble groups in which Sylow permutability is a transitive relation
Adolfo Ballester-bolinchesRamon Esteban-romerosubject
Finite groupTransitive relationGeneral MathematicsSylow theoremsGrups Teoria deExtension (predicate logic)CombinatoricsMathematics::Group TheoryKey pointLocally finite groupPermutabilitySubnormalityEmbeddingÀlgebraFinite groupAlgebra over a fieldMATEMATICA APLICADAMathematicsdescription
A characterisation of finite soluble groups in which Sylow permutability is a transitive relation by means of subgroup embedding properties enjoyed by all the subgroups is proved in the paper. The key point is an extension of a subnormality criterion due to Wielandt.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2003-11-01 | Acta Mathematica Hungarica |