Invariant class sizes and solvability of finite groups under coprime action

Beltrán, Antonio; Sao, Changguo

dc.contributor.author	Beltrán, Antonio
dc.contributor.author	Sao, Changguo
dc.date.accessioned	2016-06-13T07:39:44Z
dc.date.available	2016-06-13T07:39:44Z
dc.date.issued	2015
dc.identifier.citation	BELTRÁN, Antonio; SHAO, Changguo. Invariant class sizes and solvability of finite groups under coprime action. Mathematische Nachrichten, 2015, vol. 289, p. 187–193.	ca_CA
dc.identifier.issn	0025-584X
dc.identifier.issn	1522-2616
dc.identifier.uri	http://hdl.handle.net/10234/160633
dc.description.abstract	Suppose that A and G are finite groups of relatively prime orders such that A acts on G via automorphisms, and then, A acts on the set of conjugacy classes of G. We study several arithmetical properties on the sizes of certain classes which are left fixed by A and how they reflect on the A-invariant structure and may imply the solvability of G.	ca_CA
dc.description.sponsorShip	The first author is supported by the Valencian Government, Proyecto PROMETEOII/2015/011 and by Universitat Jaume I, grant P11B2012-05. The second author is supported by the research Project NNSF of China (Grant No. 11301218), University of Jinan Research Funds for Doctors (XBS1335 and XBS1336), and the Nature Science Fund of Shandong Province (No. inline imageR2014AM020).	ca_CA
dc.format.extent	7 p.	ca_CA
dc.format.mimetype	application/pdf	ca_CA
dc.language.iso	eng	ca_CA
dc.publisher	Wiley	ca_CA
dc.relation.isFormatOf	http://onlinelibrary.wiley.com/doi/10.1002/mana.201400363/full	ca_CA
dc.relation.isPartOf	Mathematische Nachrichten, 2015, vol. 289	ca_CA
dc.rights	Copyright © John Wiley & Sons, Inc.	ca_CA
dc.rights.uri	http://rightsstatements.org/vocab/InC/1.0/	*
dc.subject	corpime action	ca_CA
dc.subject	conjugacy classes	ca_CA
dc.subject	class sizes	ca_CA
dc.subject	prime power order elements	ca_CA
dc.subject	20D15	ca_CA
dc.subject	20E45	ca_CA
dc.title	Invariant class sizes and solvability of finite groups under coprime action	ca_CA
dc.type	info:eu-repo/semantics/article	ca_CA
dc.identifier.doi	http://dx.doi.org/10.1002/mana.201400363
dc.rights.accessRights	info:eu-repo/semantics/restrictedAccess	ca_CA
dc.type.version	info:eu-repo/semantics/publishedVersion

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