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c-Normality and coprime action in finite groups
dc.contributor.author | Beltrán, Antonio | |
dc.contributor.author | Shao, Changguo | |
dc.date.accessioned | 2024-01-12T07:41:41Z | |
dc.date.available | 2024-01-12T07:41:41Z | |
dc.date.issued | 2023-10-31 | |
dc.identifier.citation | Beltrán, A., Shao, C. c-Normality and coprime action in finite groups. Acta Math. Hungar. 171, 39–52 (2023). https://doi.org/10.1007/s10474-023-01376-w | ca_CA |
dc.identifier.issn | 0236-5294 | |
dc.identifier.uri | http://hdl.handle.net/10234/205420 | |
dc.description.abstract | A subgroup H of a finite group G is called c-normal if there exists a normal subgroup N in G such that G = HN and , the largest normal subgroup of G contained in H. c-Normality is a weaker form of normality, introduced by Y.M. Wang, that has led to interesting results and structural criteria of finite groups. In this paper we study c-normality in the coprime action setting so as to obtain several solvability and p-nilpotency criteria in terms of certain subsets of maximal invariant subgroups of a group or of its Sylow subgroups. | ca_CA |
dc.format.extent | 14 p. | ca_CA |
dc.format.mimetype | application/pdf | ca_CA |
dc.language.iso | eng | ca_CA |
dc.publisher | Springer | ca_CA |
dc.publisher | Akadémiai Kiadó | ca_CA |
dc.relation.isPartOf | Acta Mathematica Hungarica, 2023, vol. 171 | ca_CA |
dc.rights.uri | http://rightsstatements.org/vocab/CNE/1.0/ | ca_CA |
dc.subject | c-normality | ca_CA |
dc.subject | coprime action | ca_CA |
dc.subject | invariant subgroup | ca_CA |
dc.subject | maximal subgroup | ca_CA |
dc.subject | p-nilpotency | ca_CA |
dc.subject | solvability criterion | ca_CA |
dc.title | c-Normality and coprime action in finite groups | ca_CA |
dc.type | info:eu-repo/semantics/article | ca_CA |
dc.identifier.doi | https://doi.org/10.1007/s10474-023-01376-w | |
dc.identifier.doi | 1588-2632 | |
dc.rights.accessRights | info:eu-repo/semantics/embargoedAccess | ca_CA |
dc.relation.publisherVersion | https://link.springer.com/article/10.1007/s10474-023-01376-w | ca_CA |
dc.description.sponsorship | This work is supported by the National Nature Science Fund of China (No. 12071181). The first author is also supported by Generalitat Valenciana, Proyecto CIAICO/2021/193. The second author is also supported by the Nature Science Fund of Shandong Province (No. ZR2019MA044). | |
dc.type.version | info:eu-repo/semantics/acceptedVersion | ca_CA |
project.funder.name | National Nature Science Fund of China | ca_CA |
project.funder.name | Generalitat Valenciana | ca_CA |
project.funder.name | Nature Science Fund of Shandong Province | ca_CA |
oaire.awardNumber | 12071181 | ca_CA |
oaire.awardNumber | CIAICO/2021/193 | ca_CA |
oaire.awardNumber | ZR2019MA044 | ca_CA |
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