6533b7dbfe1ef96bd1270b27

RESEARCH PRODUCT

A generalization to Sylow permutability of pronormal subgroups of finite groups

Patrizia LongobardiRamon Esteban-romeroRamon Esteban-romeroMercede Maj

subject

Pure mathematicsGeneralizationPropermutabilityFinite groups; subgroup embedding property; permutability; pro-S-permutability; propermutability01 natural sciencesMathematics::Group TheoryPermutabilitypermutabilityFinite group0101 mathematicsPro-S-permutabilityComputer Science::DatabasesMathematicsFinite groupAlgebra and Number Theorysubgroup embedding propertySubgroup embedding propertyApplied Mathematics010102 general mathematicsSylow theoremspro-S-permutabilityFinite groups010101 applied mathematicsEmbeddingpropermutabilityMATEMATICA APLICADAMatemàtica

description

[EN] In this note, we present a new subgroup embedding property that can be considered as an analogue of pronormality in the scope of permutability and Sylow permutability in finite groups. We prove that finite PST-groups, or groups in which Sylow permutability is a transitive relation, can be characterized in terms of this property, in a similar way as T-groups, or groups in which normality is transitive, can be characterized in terms of pronormality.

yearjournalcountryeditionlanguage
2020-01-01Journal of Algebra and Its Applications
https://doi.org/10.1142/s0219498820500528