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Orbits of maximal invariant subgroups and solvability of finite groups
dc.contributor.author | shao, Changguo | |
dc.contributor.author | Beltrán, Antonio | |
dc.date.accessioned | 2019-10-18T10:20:45Z | |
dc.date.available | 2019-10-18T10:20:45Z | |
dc.date.issued | 2019-08-13 | |
dc.identifier.citation | SHAO, Changguo; BELTRÁN, Antonio. Orbits of maximal invariant subgroups and solvability of finite groups. Journal of Algebra, 2019, 539: 177-200. | ca_CA |
dc.identifier.uri | http://hdl.handle.net/10234/184350 | |
dc.description.abstract | Let A and G be finite groups having coprime orders and suppose that A acts on G via automorphisms. We give some solvability criteria for G according to the number of orbits that appear by the action of the fixed point subgroup on the set of maximal A-invariant subgroups of G, and likewise, on the set of non-nilpotent maximal A-invariant subgroups. We also obtain some characterizations and further structure properties of these groups. In the course of our study we prove an independent result concerning maximal factorizations of classical simple groups. | ca_CA |
dc.format.extent | 23 p. | ca_CA |
dc.format.mimetype | application/pdf | ca_CA |
dc.language.iso | eng | ca_CA |
dc.publisher | Elsevier | ca_CA |
dc.rights | © 2019 Elsevier Inc. All rights reserved. | ca_CA |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | * |
dc.subject | maximal invariant subgroups | ca_CA |
dc.subject | coprime action | ca_CA |
dc.subject | maximal subgroups of simple groups of Lie type | ca_CA |
dc.title | Orbits of maximal invariant subgroups and solvability of finite groups | ca_CA |
dc.type | info:eu-repo/semantics/article | ca_CA |
dc.identifier.doi | https://doi.org/10.1016/j.jalgebra.2019.08.006 | |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca_CA |
dc.relation.publisherVersion | https://www.sciencedirect.com/science/article/pii/S0021869319304491 | ca_CA |
dc.date.embargoEndDate | 2021-08-13 | |
dc.type.version | info:eu-repo/semantics/acceptedVersion | ca_CA |
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