Orbits of maximal invariant subgroups and solvability of finite groups
![Thumbnail](/xmlui/bitstream/handle/10234/184350/JOURNAL_OF_ALGEBRA.pdf.jpg?sequence=4&isAllowed=y)
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
Orbits of maximal invariant subgroups and solvability of finite groupsFecha de publicación
2019-08-13Editor
ElsevierCita bibliográfica
SHAO, Changguo; BELTRÁN, Antonio. Orbits of maximal invariant subgroups and solvability of finite groups. Journal of Algebra, 2019, 539: 177-200.Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
https://www.sciencedirect.com/science/article/pii/S0021869319304491Versión
info:eu-repo/semantics/acceptedVersionPalabras clave / Materias
Resumen
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 ... [+]
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. [-]
Derechos de acceso
© 2019 Elsevier Inc. All rights reserved.
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 [763]