Second Maximal Invariant Subgroups and Solubility of Finite Groups
Ver/ Abrir
Metadatos
Mostrar el registro completo del ítemcomunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
comunitat-uji-handle4:
INVESTIGACIONMetadatos
Título
Second Maximal Invariant Subgroups and Solubility of Finite GroupsFecha de publicación
2022-11-22Editor
SpringerCita bibliográfica
Shao, C., Beltrán, A. Second Maximal Invariant Subgroups and Solubility of Finite Groups. Commun. Math. Stat. 12, 45–54 (2024). https://doi.org/10.1007/s40304-021-00279-yTipo de documento
info:eu-repo/semantics/articleVersión
info:eu-repo/semantics/acceptedVersionPalabras clave / Materias
Resumen
Let G be a finite group and assume that a group of automorphisms A is acting on G such that A and G have coprime orders. We prove that the fact of imposing specific properties on the second maximal A-invariant subgroups ... [+]
Let G be a finite group and assume that a group of automorphisms A is acting on G such that A and G have coprime orders. We prove that the fact of imposing specific properties on the second maximal A-invariant subgroups of G determines that G is either soluble or isomorphic to a few non-soluble groups such as PSL(2, 5) or SL(2, 5). [-]
Entidad financiadora
National Nature Science Fund of China | Nature Science Fund of Shandong Province | MCIN/AEI (Spain) | Universitat Jaume I | Generalitat Valenciana
Código del proyecto o subvención
12071181 | ZR2019MA044 | ZR2020MA003 | UJI-B2019-03 | PGC2018-096872-B-100 | AICO/2020/298
Derechos de acceso
Copyright © 2022, School of Mathematical Sciences, University of Science and Technology of China and Springer-Verlag GmbH Germany, part of Springer Nature
http://rightsstatements.org/vocab/InC/1.0/
info:eu-repo/semantics/openAccess
http://rightsstatements.org/vocab/InC/1.0/
info:eu-repo/semantics/openAccess
Aparece en las colecciones
- MAT_Articles [761]