Academic Journal
A transversal property for permutation groups motivated by partial transformations
| Τίτλος: | A transversal property for permutation groups motivated by partial transformations |
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| Συγγραφείς: | Araujo J., Araujo J. P., Bentz W., Cameron P. J., Spiga P. |
| Συνεισφορές: | Araujo, J, Bentz, W, Cameron, P, Spiga, P |
| Στοιχεία εκδότη: | Academic Press Inc. US |
| Έτος έκδοσης: | 2021 |
| Συλλογή: | Università degli Studi di Milano-Bicocca: BOA (Bicocca Open Archive) |
| Θεματικοί όροι: | 2-Transitive group, Partial transformation semigroup, Primitive permutation group, Regular semigroup, Transformation semigroup |
| Περιγραφή: | 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. |
| Τύπος εγγράφου: | article in journal/newspaper |
| Περιγραφή αρχείου: | STAMPA |
| Γλώσσα: | English |
| Relation: | info:eu-repo/semantics/altIdentifier/wos/WOS:000617653500029; volume:573; firstpage:741; lastpage:759; numberofpages:19; journal:JOURNAL OF ALGEBRA; https://hdl.handle.net/10281/416058 |
| DOI: | 10.1016/j.jalgebra.2020.12.024 |
| Διαθεσιμότητα: | https://hdl.handle.net/10281/416058 https://doi.org/10.1016/j.jalgebra.2020.12.024 |
| Rights: | info:eu-repo/semantics/openAccess ; license:Creative Commons ; license uri:http://creativecommons.org/licenses/by/4.0/ |
| Αριθμός Καταχώρησης: | edsbas.B8ECDAF2 |
| Βάση Δεδομένων: | BASE |
| DOI: | 10.1016/j.jalgebra.2020.12.024 |
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