Coprime action and arithmetical conditions on invariant conjugacy classes
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http://dx.doi.org/10.1007/s11425-015-5007-3 |
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Títol
Coprime action and arithmetical conditions on invariant conjugacy classesData de publicació
2015-12Editor
Springer VerlagCita bibliogràfica
SHAO, ChangGuo; BELTRÁN, Antonio. Coprime action and arithmetical conditions on invariant conjugacy classes. Science China Mathematics, 2015, vol. 58, no 12, p. 2499-2504.Tipus de document
info:eu-repo/semantics/articleVersió de l'editorial
http://link.springer.com/article/10.1007/s11425-015-5007-3Versió
info:eu-repo/semantics/publishedVersionParaules clau / Matèries
Resum
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. [-]
Publicat a
Science China Mathematics December 2015, Volume 58, Issue 12,Drets d'accés
© Springer International Publishing AG, Part of Springer Science+Business Media
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info:eu-repo/semantics/restrictedAccess
http://rightsstatements.org/vocab/InC/1.0/
info:eu-repo/semantics/restrictedAccess
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