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Coprime action and arithmetical conditions on invariant conjugacy classes
dc.contributor.author | shao, Changguo | |
dc.contributor.author | Beltrán, Antonio | |
dc.date.accessioned | 2016-03-15T13:05:06Z | |
dc.date.available | 2016-03-15T13:05:06Z | |
dc.date.issued | 2015-12 | |
dc.identifier.citation | SHAO, ChangGuo; BELTRÁN, Antonio. Coprime action and arithmetical conditions on invariant conjugacy classes. Science China Mathematics, 2015, vol. 58, no 12, p. 2499-2504. | ca_CA |
dc.identifier.uri | http://hdl.handle.net/10234/153905 | |
dc.description.abstract | 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. | ca_CA |
dc.format.extent | 5 p. | ca_CA |
dc.format.mimetype | application/pdf | ca_CA |
dc.language.iso | eng | ca_CA |
dc.publisher | Springer Verlag | ca_CA |
dc.relation.isPartOf | Science China Mathematics December 2015, Volume 58, Issue 12, | ca_CA |
dc.rights | © Springer International Publishing AG, Part of Springer Science+Business Media | ca_CA |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | * |
dc.subject | finite groups | ca_CA |
dc.subject | conjugacy class sizes | ca_CA |
dc.subject | coprime action | ca_CA |
dc.subject | group action on groups | ca_CA |
dc.title | Coprime action and arithmetical conditions on invariant conjugacy classes | ca_CA |
dc.type | info:eu-repo/semantics/article | ca_CA |
dc.identifier.doi | http://dx.doi.org/10.1007/s11425-015-5007-3 | |
dc.rights.accessRights | info:eu-repo/semantics/restrictedAccess | ca_CA |
dc.relation.publisherVersion | http://link.springer.com/article/10.1007/s11425-015-5007-3 | ca_CA |
dc.type.version | info:eu-repo/semantics/publishedVersion |
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