A coprime action version of a solubility criterion of Deskins
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
A coprime action version of a solubility criterion of DeskinsDate
2019Publisher
Springer VerlagISSN
0026-9255; 1436-5081Bibliographic citation
BELTRÁN, Antonio; SHAO, Changguo. A coprime action version of a solubility criterion of Deskins. Monatshefte für Mathematik, 2019, vol. 188, no 3, p. 461-466.Type
info:eu-repo/semantics/articlePublisher version
https://link.springer.com/article/10.1007/s00605-018-1256-xVersion
info:eu-repo/semantics/acceptedVersionSubject
Abstract
Let A and G be finite groups of relatively prime orders and suppose that A acts on G
via automorphisms. We demonstrate that if G has a maximal A-invariant subgroup M
that is nilpotent and the Sylow 2-subgroup of M ... [+]
Let A and G be finite groups of relatively prime orders and suppose that A acts on G
via automorphisms. We demonstrate that if G has a maximal A-invariant subgroup M
that is nilpotent and the Sylow 2-subgroup of M has class at most 2, then G is soluble.
This result extends, in the context of coprime action, a solubility criterion given by
W.E. Deskins. [-]
Is part of
Monatshefte für Mathematik, 2019, Volume 188, Issue 3.Investigation project
PROMETEOII/2015/011 ; P11B-2015-77 ; 11301218 ; ZR2014AM020Rights
© Springer-Verlag GmbH Austria, part of Springer Nature 2019. “This is a post-peer-review, pre-copyedit version of an article published in Monatshefte für Mathematik. The final authenticated version is available online at: http://dx.doi.org/10.1007/s00605-018-1256-x”.
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 [770]