Arithmetical Conditions on Invariant Sylow Numbers

Beltrán, Antonio; shao, Changguo

dc.contributor.author	Beltrán, Antonio
dc.contributor.author	shao, Changguo
dc.date.accessioned	2018-06-04T09:36:55Z
dc.date.available	2018-06-04T09:36:55Z
dc.date.issued	2018
dc.identifier.citation	Beltrán, A. & Shao, C. Mediterr. J. Math. (2018) 15: 49. https://doi.org/10.1007/s00009-018-1094-z	ca_CA
dc.identifier.issn	1660-5446
dc.identifier.issn	1660-5454
dc.identifier.uri	http://hdl.handle.net/10234/174979
dc.description.abstract	Let A and G be finite groups and suppose that A acts coprimely on G via automorphisms. A natural number n is said to be an A-invariant Sylow number if n is the number of A-invariant Sylow p-subgroups of G for some prime p. We investigate how the fact of imposing certain arithmetical conditions on the set of A-invariant Sylow numbers of G may imply the solvability of G.	ca_CA
dc.format.extent	11 p.	ca_CA
dc.language.iso	eng	ca_CA
dc.publisher	Springer Verlag	ca_CA
dc.relation.isPartOf	Mediterranean Journal of Mathematics, April 2018	ca_CA
dc.rights.uri	http://rightsstatements.org/vocab/CNE/1.0/	*
dc.subject	Finite groups	ca_CA
dc.subject	Sylow numbers	ca_CA
dc.subject	Solvable groups	ca_CA
dc.subject	Coprime action	ca_CA
dc.title	Arithmetical Conditions on Invariant Sylow Numbers	ca_CA
dc.type	info:eu-repo/semantics/article	ca_CA
dc.identifier.doi	https://doi.org/10.1007/s0000
dc.relation.projectID	PROMETEOII/2015/011 ; P11B2015-77 ; No. 11301218 ; No. ZR2014AM020	ca_CA
dc.rights.accessRights	info:eu-repo/semantics/restrictedAccess	ca_CA
dc.relation.publisherVersion	https://link.springer.com/article/10.1007/s00009-018-1094-z	ca_CA
dc.type.version	info:eu-repo/semantics/publishedVersion	ca_CA

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