Restrictions on maximal invariant subgroups implying solvability of finite groups
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https://doi.org/10.1007/s10231-018-0777-1 |
Metadatos
Título
Restrictions on maximal invariant subgroups implying solvability of finite groupsFecha de publicación
2018Editor
Springer VerlagISSN
0373-3114; 1618-1891Cita bibliográfica
BELTRÁN, Antonio; SHAO, Changguo. Restrictions on maximal invariant subgroups implying solvability of finite groups. Annali di Matematica Pura ed Applicata (1923-), 2018.Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
https://link.springer.com/article/10.1007/s10231-018-0777-1Versión
info:eu-repo/semantics/publishedVersionPalabras clave / Materias
Resumen
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 ... [+]
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. [-]
Publicado en
Annali di Matematica Pura ed Applicata, 2018Proyecto de investigación
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)Derechos de acceso
© Springer Berlin Heidelberg
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