2024-03-29T15:06:38Zhttps://repositori.uji.es/oai/requestoai:repositori.uji.es:10234/1774822023-12-21T08:30:54Zcom_10234_7037com_10234_9col_10234_8635
Repositori UJI
author
Beltrán, Antonio
author
shao, Changguo
2018-11-15T08:20:16Z
2018-11-15T08:20:16Z
2018
BELTRÁN, Antonio; SHAO, Changguo. Restrictions on maximal invariant subgroups implying solvability of finite groups. Annali di Matematica Pura ed Applicata (1923-), 2018.
0373-31141618-1891
http://hdl.handle.net/10234/177482
https://doi.org/10.1007/s10231-018-0777-1
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.
eng
© Springer Berlin Heidelberg
finite groups
maximal subgroups
coprime action
group action on groups
solvable groups
nilpotent groups
supersolvable groups
Restrictions on maximal invariant subgroups implying solvability of finite groups
info:eu-repo/semantics/article
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