A transversal property for permutation groups motivated by partial transformations

Registro completo de metadados
MetadadosDescriçãoIdioma
Autor(es): dc.creatorAraújo, João-
Autor(es): dc.creatorAraújo, João Pedro-
Autor(es): dc.creatorBentz, Wolfram-
Autor(es): dc.creatorCameron, Peter-
Autor(es): dc.creatorSpiga, Pablo-
Data de aceite: dc.date.accessioned2025-08-22T11:47:44Z-
Data de disponibilização: dc.date.available2025-08-22T11:47:44Z-
Data de envio: dc.date.issued2023-01-29-
Data de envio: dc.date.issued2023-01-29-
Data de envio: dc.date.issued2021-05-01-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/10400.2/13248-
Fonte completa do material: dc.identifierhttps://doi.org/10.1016/j.jalgebra.2020.12.024-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/10400.2/13248-
Descrição: dc.descriptionPreprint 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.-
Descrição: dc.descriptionIn 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.-
Descrição: dc.descriptionThe 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.-
Descrição: dc.descriptioninfo:eu-repo/semantics/publishedVersion-
Formato: dc.formatapplication/pdf-
Idioma: dc.languageen-
Publicador: dc.publisherElsevier-
Relação: dc.relationCenter for Mathematics and Applications-
Relação: dc.relationCenter for Computational and Stochastic Mathematics-
Direitos: dc.rightshttp://creativecommons.org/licenses/by/4.0/-
Título: dc.titleA transversal property for permutation groups motivated by partial transformations-
Aparece nas coleções:Repositório Aberto - Universidade Aberta (Portugal)

Não existem arquivos associados a este item.