Publication
A transversal property for permutation groups motivated by partial transformations
| dc.contributor.author | Araújo, João | |
| dc.contributor.author | Araújo, João Pedro | |
| dc.contributor.author | Bentz, Wolfram | |
| dc.contributor.author | Cameron, Peter | |
| dc.contributor.author | Spiga, Pablo | |
| dc.date.accessioned | 2023-01-30T15:09:27Z | |
| dc.date.available | 2023-01-30T15:09:27Z | |
| dc.date.issued | 2021-05-01 | |
| dc.description | Preprint de J. Araújo, J.P. Araújo, W. Bentz, P.J. Cameron, and P. Spiga, “A Transversal Property for Permutation Groups Motivated by Partial Transformations”, Journal of Algebra 573 (2021), 741-759. | pt_PT |
| dc.description.abstract | In this paper we introduce the definition of the (k, l)-universal transversal property for permutation groups, which is a refinement of the definition of k-universal transversal property, which in turn is a refine- ment of the classical definition of k-homogeneity for permutation groups. In particular, a group possesses the (2, n)-universal transversal property if and only if it is primitive; it possesses the (2, 2)-universal transversal property if and only if it is 2-homogeneous. Up to a few undecided cases, we give a classification of groups satisfying the (k, l)-universal transversal property, for k ≥ 3. Then we apply this result for studying regular semigroups of partial transformations. | pt_PT |
| dc.description.sponsorship | The first and third authors were partially supported by the Fundação para a Ciência e a Tecnologia (Portuguese Foundation for Science and Technology) through projects UIDB/00297/2020 (Center for Mathematics and Applications) and CEMAT-CIÊNCIAS UID/Multi/04621/2013, and also by the Fundacão para a Ciência e a Tecnologia through project PTDC/MAT-PUR/31174/2017. The second author was partially supported by Fundação Calouste Gulbenkian, Programa Talentos Inteligência Artificial. The fourth author was partially supported by Fundação para a Ciência e a Tecnologia (Portuguese Founda- tion for Science and Technology) through project CEMAT-CIÊNCIAS UID/Multi/04621/2013. | pt_PT |
| dc.description.version | info:eu-repo/semantics/publishedVersion | pt_PT |
| dc.identifier.citation | J. Araújo, J.P. Araújo, W. Bentz, P.J. Cameron, and P. Spiga, “A Transversal Property for Permutation Groups Moti- vated by Partial Transformations”, Journal of Algebra 573 (2021), 741-759. | pt_PT |
| dc.identifier.doi | https://doi.org/10.1016/j.jalgebra.2020.12.024 | pt_PT |
| dc.identifier.uri | http://hdl.handle.net/10400.2/13248 | |
| dc.language.iso | eng | pt_PT |
| dc.peerreviewed | yes | pt_PT |
| dc.publisher | Elsevier | pt_PT |
| dc.relation | Center for Mathematics and Applications | |
| dc.relation | Center for Computational and Stochastic Mathematics | |
| dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | pt_PT |
| dc.title | A transversal property for permutation groups motivated by partial transformations | pt_PT |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.awardTitle | Center for Mathematics and Applications | |
| oaire.awardTitle | Center for Computational and Stochastic Mathematics | |
| oaire.awardURI | info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F00297%2F2020/PT | |
| oaire.awardURI | info:eu-repo/grantAgreement/FCT/3599-PPCDT/PTDC%2FMAT-PUR%2F31174%2F2017/PT | |
| oaire.awardURI | info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UID%2FMulti%2F04621%2F2013/PT | |
| oaire.citation.endPage | 759 | pt_PT |
| oaire.citation.startPage | 741 | pt_PT |
| oaire.citation.title | Journal of Algebra | pt_PT |
| oaire.citation.volume | 573 | pt_PT |
| oaire.fundingStream | 6817 - DCRRNI ID | |
| oaire.fundingStream | 3599-PPCDT | |
| oaire.fundingStream | 6817 - DCRRNI ID | |
| person.familyName | Ribeiro Soares Gonçalves de Araújo | |
| person.familyName | Estácio Gaspar Gonçalves de Araújo | |
| person.familyName | Bentz | |
| person.familyName | Cameron | |
| person.familyName | Spiga | |
| person.givenName | João Jorge | |
| person.givenName | João Pedro | |
| person.givenName | Wolfram | |
| person.givenName | Peter | |
| person.givenName | Pablo | |
| person.identifier.ciencia-id | EC1F-273A-9F24 | |
| person.identifier.ciencia-id | F81E-C9EC-D008 | |
| person.identifier.orcid | 0000-0001-6655-2172 | |
| person.identifier.orcid | 0000-0002-3298-0336 | |
| person.identifier.orcid | 0000-0003-0002-1277 | |
| person.identifier.orcid | 0000-0003-3130-9505 | |
| person.identifier.orcid | 0000-0002-0157-7405 | |
| person.identifier.scopus-author-id | 7202869893 | |
| project.funder.identifier | http://doi.org/10.13039/501100001871 | |
| project.funder.identifier | http://doi.org/10.13039/501100001871 | |
| project.funder.identifier | http://doi.org/10.13039/501100001871 | |
| project.funder.name | Fundação para a Ciência e a Tecnologia | |
| project.funder.name | Fundação para a Ciência e a Tecnologia | |
| project.funder.name | Fundação para a Ciência e a Tecnologia | |
| rcaap.rights | openAccess | pt_PT |
| rcaap.type | article | pt_PT |
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