Search results for "S-permutability"

showing 2 items of 2 documents

Some subgroup embeddings in finite groups: A mini review

2015

[EN] In this survey paper several subgroup embedding properties related to some types of permutability are introduced and studied. ª 2014 Production and hosting by Elsevier B.V. on behalf of Cairo University

Computer scienceMini Reviewmacromolecular substancesS-permutabilityMini reviewMathematics::Group TheoryComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATIONPermutabilityPrimitive subgroupAlgebra over a fieldFinite grouplcsh:Science (General)GeneralFinite grouplcsh:R5-920MultidisciplinaryMathematics::Combinatoricsmusculoskeletal neural and ocular physiologyAlgebranervous systemEmbeddingQuasipermutable subgrouplcsh:Medicine (General)MATEMATICA APLICADAAlgorithmSemipermutabilityMathematicsofComputing_DISCRETEMATHEMATICSlcsh:Q1-390Journal of Advanced Research
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A generalization to Sylow permutability of pronormal subgroups of finite groups

2020

[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.

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 APLICADAMatemàticaJournal of Algebra and Its Applications
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