Publication
The invariant rings of the Sylow groups of GU(3,q2), GU(4,q2), Sp(4,q) and O+(4,q) in the natural characteristic
| dc.contributor.author | Ferreira, Jorge N. M. | |
| dc.contributor.author | Fleischmann, Peter | |
| dc.date.accessioned | 2023-02-13T16:09:40Z | |
| dc.date.available | 2023-02-13T16:09:40Z | |
| dc.date.issued | 2017 | |
| dc.description.abstract | Let G be a Sylow p-subgroup of the unitary groups GU(3, q2), GU(4, q2), the symplectic group Sp(4, q) and, for q odd, the orthogonal group O +(4, q). In this paper we construct a presenta tion for the invariant ring of G acting on the natural module. In particular we prove that these rings are generated by orbit products of variables and certain invariant polynomials which are images under Steenrod operations, applied to the respective invariant form defining the corresponding classical group. We also show that these generators form a SAGBI basis and the invariant ring for G is a complete intersection. | pt_PT |
| dc.description.version | info:eu-repo/semantics/publishedVersion | pt_PT |
| dc.identifier.citation | Ferreira, J. N., & Fleischmann, P. (2017). The invariant rings of the Sylow groups of GU (3, q2), GU (4, q2), Sp (4, q) and O+ (4, q) in the natural characteristic. Journal of Symbolic Computation, 79, 356-371. | pt_PT |
| dc.identifier.doi | 10.1016/j.jsc.2016.02.013 | pt_PT |
| dc.identifier.uri | http://hdl.handle.net/10400.13/5033 | |
| dc.language.iso | eng | pt_PT |
| dc.peerreviewed | yes | pt_PT |
| dc.publisher | Elsevier | pt_PT |
| dc.relation | MODULAR INVARIANT THEORY OF FINITE UNITARY GROUPS | |
| dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | pt_PT |
| dc.subject | Invariant rings | pt_PT |
| dc.subject | SAGBI bases | pt_PT |
| dc.subject | Modular invariant theory | pt_PT |
| dc.subject | Sylow subgroups | pt_PT |
| dc.subject | Finite classical groups | pt_PT |
| dc.subject | . | pt_PT |
| dc.subject | Faculdade de Ciências Exatas e da Engenharia | pt_PT |
| dc.title | The invariant rings of the Sylow groups of GU(3,q2), GU(4,q2), Sp(4,q) and O+(4,q) in the natural characteristic | pt_PT |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.awardTitle | MODULAR INVARIANT THEORY OF FINITE UNITARY GROUPS | |
| oaire.awardURI | info:eu-repo/grantAgreement/FCT/FARH/SFRH%2FBD%2F30132%2F2006/PT | |
| oaire.citation.endPage | 371 | pt_PT |
| oaire.citation.startPage | 356 | pt_PT |
| oaire.citation.title | Journal of Symbolic Computation | pt_PT |
| oaire.citation.volume | 79 | pt_PT |
| oaire.fundingStream | FARH | |
| person.familyName | Marques Ferreira | |
| person.givenName | Jorge Nélio | |
| person.identifier.orcid | 0000-0003-1364-5791 | |
| project.funder.identifier | http://doi.org/10.13039/501100001871 | |
| project.funder.name | Fundação para a Ciência e a Tecnologia | |
| rcaap.rights | openAccess | pt_PT |
| rcaap.type | article | pt_PT |
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