A coprime action version of a solubility criterion of Deskins
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Título
A coprime action version of a solubility criterion of DeskinsFecha de publicación
2019Editor
Springer VerlagISSN
0026-9255; 1436-5081Cita bibliográfica
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.Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
https://link.springer.com/article/10.1007/s00605-018-1256-xVersión
info:eu-repo/semantics/acceptedVersionPalabras clave / Materias
Resumen
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. [-]
Publicado en
Monatshefte für Mathematik, 2019, Volume 188, Issue 3.Proyecto de investigación
PROMETEOII/2015/011 ; P11B-2015-77 ; 11301218 ; ZR2014AM020Derechos de acceso
© 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”.
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