Coprime action and arithmetical conditions on invariant conjugacy classes
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http://dx.doi.org/10.1007/s11425-015-5007-3 |
Metadatos
Título
Coprime action and arithmetical conditions on invariant conjugacy classesFecha de publicación
2015-12Editor
Springer VerlagCita bibliográfica
SHAO, ChangGuo; BELTRÁN, Antonio. Coprime action and arithmetical conditions on invariant conjugacy classes. Science China Mathematics, 2015, vol. 58, no 12, p. 2499-2504.Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
http://link.springer.com/article/10.1007/s11425-015-5007-3Versión
info:eu-repo/semantics/publishedVersionPalabras clave / Materias
Resumen
Let A and G be finite groups and suppose that A acts coprimely on G via automorphisms. We show that if 4 divides no A-invariant conjugacy class size of G, then G is solvable. We also characterize the A-invariant ... [+]
Let A and G be finite groups and suppose that A acts coprimely on G via automorphisms. We show that if 4 divides no A-invariant conjugacy class size of G, then G is solvable. We also characterize the A-invariant structure of G under certain arithmetical conditions on the set of A-invariant class sizes of G by means of the fixed point subgroup, some of which imply the solvability of G. Thus, we extend, for coprime action, several results appeared in the literature on class sizes. [-]
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Science China Mathematics December 2015, Volume 58, Issue 12,Derechos de acceso
© Springer International Publishing AG, Part of Springer Science+Business Media
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