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A criterion for a normal subgroup to be hypercentral based on class sizes
| dc.contributor.author | Beltrán, Antonio | |
| dc.date.accessioned | 2024-04-22T19:09:40Z | |
| dc.date.available | 2024-04-22T19:09:40Z | |
| dc.date.issued | 2024 | |
| dc.identifier.citation | BELTRÁN, Antonio. A criterion for a normal subgroup to be hypercentral based on class sizes. Ricerche di Matematica, 2024, p. 1-8 | ca_CA |
| dc.identifier.issn | 0035-5038 | |
| dc.identifier.issn | 1827-3491 | |
| dc.identifier.uri | http://hdl.handle.net/10234/206505 | |
| dc.description.abstract | Let G be a finite group and N a normal subgroup of G. We prove that the knowledge of the sizes of the conjugacy classes of G that are contained in N and of their multiplicities provides information of N in relation to the structure of G. Among other results, we obtain a criterion to determine whether a Sylow p-subgroup of N lies in the hypercentre of G for a fixed prime p, and therefore, whether the whole subgroup N is hypercentral in G. | ca_CA |
| dc.description.sponsorShip | Funding for open access charge: CRUE-Universitat Jaume I | |
| dc.format.extent | 8 p. | ca_CA |
| dc.format.mimetype | application/pdf | ca_CA |
| dc.language.iso | eng | ca_CA |
| dc.publisher | Springer | ca_CA |
| dc.relation.isPartOf | Ricerche di Matematica, 2024, p. 1-8 | ca_CA |
| dc.rights | © The Author(s) 2024 Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ | ca_CA |
| dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | ca_CA |
| dc.subject | Conjugacy class sizes | ca_CA |
| dc.subject | Normal subgroups | ca_CA |
| dc.subject | Nilpotent groups | ca_CA |
| dc.subject | Hypercentre | ca_CA |
| dc.title | A criterion for a normal subgroup to be hypercentral based on class sizes | ca_CA |
| dc.type | info:eu-repo/semantics/article | ca_CA |
| dc.identifier.doi | https://doi.org/10.1007/s11587-024-00856-7 | |
| dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca_CA |
| dc.relation.publisherVersion | https://link.springer.com/article/10.1007/s11587-024-00856-7 | ca_CA |
| dc.type.version | info:eu-repo/semantics/publishedVersion | ca_CA |
| project.funder.name | Generalitat Valenciana | ca_CA |
| oaire.awardNumber | CIAICO/2021/193 | ca_CA |
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Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which
permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give
appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence,
and indicate if changes were made. The images or other third party material in this article are included
in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If
material is not included in the article’s Creative Commons licence and your intended use is not permitted
by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the
copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/
