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New Conditions on Maximal Invariant Subgroups That Imply Solubility

dc.contributor.authorBeltrán, Antonio
dc.contributor.authorshao, Changguo
dc.date.accessioned2023-06-26T17:48:11Z
dc.date.available2023-06-26T17:48:11Z
dc.date.issued2023
dc.identifier.citationBELTRÁN, Antonio; SHAO, Changguo. New Conditions on Maximal Invariant Subgroups That Imply Solubility. Results in Mathematics, 2023, vol. 78, núm. 4, p. 149ca_CA
dc.identifier.issn1420-9012
dc.identifier.issn1422-6383
dc.identifier.urihttp://hdl.handle.net/10234/202957
dc.description.abstractLet G be a finite group and assume that a finite group of automorphisms A acts on G, such that the orders of A and G are relatively prime. We prove that the fact of imposing certain conditions on the set of maximal A-invariant subgroups of G, relating to nilpotency, p-nilpotency, normality or having p’-order, determines properties on the structure of G such as solubility, p-solubility or p-nilpotency.ca_CA
dc.description.sponsorShipFunding for open access charge: CRUE-Universitat Jaume I
dc.format.extent11 p.ca_CA
dc.format.mimetypeapplication/pdfca_CA
dc.language.isoengca_CA
dc.publisherSpringerca_CA
dc.relation.isPartOfResults in Mathematics, 2023, vol. 78, núm. 4, p. 149ca_CA
dc.rights© 2023 The Author(s) This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and re- production 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 regu- lation 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.urihttp://creativecommons.org/licenses/by/4.0/ca_CA
dc.subjectinvariant subgroupsca_CA
dc.subjectcoprime actionca_CA
dc.subjectmaximal subgroupsca_CA
dc.subjectsolubility criterionca_CA
dc.titleNew Conditions on Maximal Invariant Subgroups That Imply Solubilityca_CA
dc.typeinfo:eu-repo/semantics/articleca_CA
dc.identifier.doihttps://doi.org/10.1007/s00025-023-01923-5
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessca_CA
dc.relation.publisherVersionhttps://link.springer.com/article/10.1007/s00025-023-01923-5ca_CA
dc.type.versioninfo:eu-repo/semantics/publishedVersionca_CA
project.funder.nameNational Natural Science Foundation of Chinaca_CA
project.funder.nameGeneralitat Valencianaca_CA
project.funder.nameNatural Science Foundation of Shandong Provinceca_CA
oaire.awardNumber12071181ca_CA
oaire.awardNumberCIAICO/2021/193ca_CA
oaire.awardNumberZR2020MA0034ca_CA


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© 2023 The Author(s) This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and re- production 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 regu- lation 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/.
Excepto si se señala otra cosa, la licencia del ítem se describe como: © 2023 The Author(s) This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and re- production 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 regu- lation 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/.