Indices of Maximal Invariant Subgroups and Solvability of Finite Groups
![Thumbnail](/xmlui/bitstream/handle/10234/182870/64650.pdf.jpg?sequence=4&isAllowed=y)
View/ Open
Metadata
Show full item recordcomunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
comunitat-uji-handle4:
INVESTIGACIONMetadata
Title
Indices of Maximal Invariant Subgroups and Solvability of Finite GroupsDate
2019Publisher
Springer VerlagISSN
1660-5446; 1660-5454Bibliographic citation
Shao, C. & Beltrán, A. Mediterr. J. Math. (2019) 16: 75. https://doi.org/10.1007/s00009-019-1352-8Type
info:eu-repo/semantics/articlePublisher version
https://link.springer.com/article/10.1007/s00009-019-1352-8Version
info:eu-repo/semantics/acceptedVersionSubject
Abstract
Let A and G be finite groups and suppose that A acts coprimely on G via automorphisms. We study the solvability and supersolvability of G when certain proper maximal A-invariant subgroups of
G have prime index or ... [+]
Let A and G be finite groups and suppose that A acts coprimely on G via automorphisms. We study the solvability and supersolvability of G when certain proper maximal A-invariant subgroups of
G have prime index or when they have certain prime power indices in
G [-]
Is part of
Mediterranean Journal of Mathematics, June 2019.Investigation project
11301218 ; ZR2018AM020 ; 2018QZJ04; PROMETEOII/2015/011 ; P11B-2015-77Rights
© Springer Nature Switzerland AG 2019. “This is a post-peer-review, pre-copyedit version of an article published in Mediterranean Journal of Mathematics. The final authenticated version is available online at: https://doi.org/10.1007/s00009-019-1352-8”.
http://rightsstatements.org/vocab/InC/1.0/
info:eu-repo/semantics/openAccess
http://rightsstatements.org/vocab/InC/1.0/
info:eu-repo/semantics/openAccess
This item appears in the folowing collection(s)
- MAT_Articles [763]