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Restrictions on maximal invariant subgroups implying solvability of finite groups
dc.contributor.author | Beltrán, Antonio | |
dc.contributor.author | shao, Changguo | |
dc.date.accessioned | 2018-11-15T08:20:16Z | |
dc.date.available | 2018-11-15T08:20:16Z | |
dc.date.issued | 2018 | |
dc.identifier.citation | BELTRÁN, Antonio; SHAO, Changguo. Restrictions on maximal invariant subgroups implying solvability of finite groups. Annali di Matematica Pura ed Applicata (1923-), 2018. | ca_CA |
dc.identifier.issn | 0373-3114 | |
dc.identifier.issn | 1618-1891 | |
dc.identifier.uri | http://hdl.handle.net/10234/177482 | |
dc.description.abstract | Suppose that G and A are finite groups such that A acts coprimely on G via automorphisms. It is interesting to investigate the structure and properties of G when we impose some restrictions on its maximal A-invariant subgroups. More precisely, we prove the solvability of G when certain maximal A-invariant subgroups are nilpotent, when all maximal A-invariant subgroups are supersolvable, or when certain arithmetic conditions are imposed on non-nilpotent maximal A-invariant subgroups. | ca_CA |
dc.format.extent | 10 p. | ca_CA |
dc.language.iso | eng | ca_CA |
dc.publisher | Springer Verlag | ca_CA |
dc.relation.isPartOf | Annali di Matematica Pura ed Applicata, 2018 | ca_CA |
dc.rights | © Springer Berlin Heidelberg | ca_CA |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | * |
dc.subject | finite groups | ca_CA |
dc.subject | maximal subgroups | ca_CA |
dc.subject | coprime action | ca_CA |
dc.subject | group action on groups | ca_CA |
dc.subject | solvable groups | ca_CA |
dc.subject | nilpotent groups | ca_CA |
dc.subject | supersolvable groups | ca_CA |
dc.title | Restrictions on maximal invariant subgroups implying solvability of finite groups | ca_CA |
dc.type | info:eu-repo/semantics/article | ca_CA |
dc.identifier.doi | https://doi.org/10.1007/s10231-018-0777-1 | |
dc.relation.projectID | Valencian Government / Proyecto PROMETEOII/2015/011; Universitat Jaume I / Grant P11B-2015-77; NNSF of China (No. 11301218); Nature Science Fund of Shandong Province (No. ZR2014AM020) | ca_CA |
dc.rights.accessRights | info:eu-repo/semantics/restrictedAccess | ca_CA |
dc.relation.publisherVersion | https://link.springer.com/article/10.1007/s10231-018-0777-1 | ca_CA |
dc.type.version | info:eu-repo/semantics/publishedVersion | ca_CA |
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