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Powers of conjugacy classes in a finite group
| dc.contributor.author | Beltrán, Antonio | |
| dc.contributor.author | Camina, Rachel Deborah | |
| dc.contributor.author | Felipe, Maria José | |
| dc.contributor.author | Melchor Borja, Carmen | |
| dc.date.accessioned | 2019-09-19T07:08:18Z | |
| dc.date.available | 2019-09-19T07:08:18Z | |
| dc.date.issued | 2019 | |
| dc.identifier.citation | BELTRÁN, Antonio, et al. Powers of conjugacy classes in a finite group. Annali di Matematica Pura ed Applicata (1923 -), 2019 | ca_CA |
| dc.identifier.issn | 0373-3114 | |
| dc.identifier.issn | 1618-1891 | |
| dc.identifier.uri | http://hdl.handle.net/10234/183812 | |
| dc.description | This is a pre-print of an article published in Annali di Matematica Pura ed Applicata. The final authenticated version is available online at: https://doi.org/10.1007/s10231-019-00885-2 | |
| dc.description.abstract | The aim of this paper is to show how the number of conjugacy classes appearing in the product of classes affect the structure of a finite group. The aim of this paper was to show several results about solvability concerning the case in which the power of a conjugacy class is a union of one or two conjugacy classes. Moreover, we show that the above conditions can be determined through the character table of the group. | ca_CA |
| dc.format.extent | 16 p. | ca_CA |
| dc.format.mimetype | application/pdf | ca_CA |
| dc.language.iso | eng | ca_CA |
| dc.publisher | Springer | ca_CA |
| dc.relation.isPartOf | Annali di Matematica Pura ed Applicata (1923 -), 2019 | ca_CA |
| dc.rights | © Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag GmbH Germany, part of Springer Nature | ca_CA |
| dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | * |
| dc.subject | finite groups | ca_CA |
| dc.subject | conjugacy classes | ca_CA |
| dc.subject | solvability | ca_CA |
| dc.subject | power of conjugacy classes | ca_CA |
| dc.subject | characters | ca_CA |
| dc.title | Powers of conjugacy classes in a finite group | ca_CA |
| dc.type | info:eu-repo/semantics/article | ca_CA |
| dc.identifier.doi | https://doi.org/10.1007/s10231-019-00885-2 | |
| dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca_CA |
| dc.relation.publisherVersion | https://link.springer.com/article/10.1007/s10231-019-00885-2 | ca_CA |
| dc.contributor.funder | Part of this paper was written during the stay of C. Melchor at the University of Cambridge in autumn 2017, which was financially supported by the grant E-2017-02, Universitat Jaume I of Castellón. C. Melchor would like to thank R. Camina and the Department of Mathematics for their warm hospitality. A. Beltrán, M.J. Felipe and C. Melchor are supported by Proyecto PGC2018-096872-B-100, Ministerio de Ciencia, Innovación y Universidades. | ca_CA |
| dc.type.version | info:eu-repo/semantics/submittedVersion | ca_CA |
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