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A transversal property for permutation groups motivated by partial transformations
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dc.contributor.author | Araújo, João | |
dc.contributor.author | Araújo, João Pedro | |
dc.contributor.author | Bentz, Wolfram | |
dc.contributor.author | Cameron, Peter J. | |
dc.contributor.author | Spiga, Pablo | |
dc.date.accessioned | 2022-01-05T00:40:50Z | |
dc.date.available | 2022-01-05T00:40:50Z | |
dc.date.issued | 2021-05-01 | |
dc.identifier | 272296167 | |
dc.identifier | 82977417-8e1f-4aee-ae14-0267ba4756ed | |
dc.identifier | 85099349884 | |
dc.identifier | 000617653500029 | |
dc.identifier.citation | Araújo , J , Araújo , J P , Bentz , W , Cameron , P J & Spiga , P 2021 , ' A transversal property for permutation groups motivated by partial transformations ' , Journal of Algebra , vol. 573 , pp. 741-759 . https://doi.org/10.1016/j.jalgebra.2020.12.024 | en |
dc.identifier.issn | 0021-8693 | |
dc.identifier.other | ORCID: /0000-0003-3130-9505/work/86987052 | |
dc.identifier.uri | https://hdl.handle.net/10023/24595 | |
dc.description | Funding: 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 Fundação 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 Foundation for Science and Technology) through project CEMAT-CIÊNCIAS UID/Multi/04621/2013. | en |
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 refinement 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. | |
dc.format.extent | 19 | |
dc.format.extent | 251539 | |
dc.language.iso | eng | |
dc.relation.ispartof | Journal of Algebra | en |
dc.subject | Primitive permutation groups | en |
dc.subject | QA Mathematics | en |
dc.subject | Mathematics(all) | en |
dc.subject | T-NDAS | en |
dc.subject.lcc | QA | en |
dc.title | A transversal property for permutation groups motivated by partial transformations | en |
dc.type | Journal article | en |
dc.contributor.institution | University of St Andrews. Pure Mathematics | en |
dc.contributor.institution | University of St Andrews. Centre for Interdisciplinary Research in Computational Algebra | en |
dc.identifier.doi | https://doi.org/10.1016/j.jalgebra.2020.12.024 | |
dc.description.status | Peer reviewed | en |
dc.date.embargoedUntil | 2022-01-05 |
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