Restrictions on maximal invariant subgroups implying solvability of finite groups
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https://doi.org/10.1007/s10231-018-0777-1 |
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Títol
Restrictions on maximal invariant subgroups implying solvability of finite groupsData de publicació
2018Editor
Springer VerlagISSN
0373-3114; 1618-1891Cita bibliogràfica
BELTRÁN, Antonio; SHAO, Changguo. Restrictions on maximal invariant subgroups implying solvability of finite groups. Annali di Matematica Pura ed Applicata (1923-), 2018.Tipus de document
info:eu-repo/semantics/articleVersió de l'editorial
https://link.springer.com/article/10.1007/s10231-018-0777-1Versió
info:eu-repo/semantics/publishedVersionParaules clau / Matèries
Resum
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. [-]
Publicat a
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)Drets d'accés
© Springer Berlin Heidelberg
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info:eu-repo/semantics/restrictedAccess
http://rightsstatements.org/vocab/InC/1.0/
info:eu-repo/semantics/restrictedAccess
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