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An Arad and Fisman’s Theorem on Products of Conjugacy Classes Revisited
dc.contributor.author | Beltrán, Antonio | |
dc.contributor.author | Felipe, Maria José | |
dc.contributor.author | Melchor Borja, Carmen | |
dc.date.accessioned | 2022-10-27T16:50:31Z | |
dc.date.available | 2022-10-27T16:50:31Z | |
dc.date.issued | 2022 | |
dc.identifier.citation | BELTRÁN, Antonio; FELIPE, María José; MELCHOR, Carmen. An Arad and Fisman’s Theorem on Products of Conjugacy Classes Revisited. Mediterranean Journal of Mathematics, 2022, 19.6: 257. | ca_CA |
dc.identifier.uri | http://hdl.handle.net/10234/200621 | |
dc.description.abstract | A theorem of Z. Arad and E. Fisman establishes that if A and B are two non-trivial conjugacy classes of a finite group G such that either AB = A ∪ B or AB = A−1 ∪ B, then G cannot be a non-abelian simple group. We demonstrate that, in fact, A = B is solvable, the elements of A and B are p-elements for some prime p, and A is pnilpotent. Moreover, under the second assumption, it turns out that A = B. This research is done by appealing to recently developed techniques and results that are based on the Classification of Finite Simple Groups. | ca_CA |
dc.description.sponsorShip | Funding for open access charge: CRUE-Universitat Jaume I | |
dc.format.extent | 12 p. | ca_CA |
dc.format.mimetype | application/pdf | ca_CA |
dc.language.iso | eng | ca_CA |
dc.publisher | Springer | ca_CA |
dc.relation.isPartOf | Mediterranean Journal of Mathematics, 2022, 19.6: 257 | ca_CA |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | ca_CA |
dc.subject | conjugacy classes | ca_CA |
dc.subject | products of conjugacy classes | ca_CA |
dc.subject | solvability criterium | ca_CA |
dc.title | An Arad and Fisman’s Theorem on Products of Conjugacy Classes Revisited | ca_CA |
dc.type | info:eu-repo/semantics/article | ca_CA |
dc.identifier.doi | https://doi.org/10.1007/s00009-022-02171-7 | |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca_CA |
dc.type.version | info:eu-repo/semantics/publishedVersion | ca_CA |
project.funder.name | Ministerio de Ciencia, Innovación y Universidades | ca_CA |
project.funder.name | Generalitat Valenciana | ca_CA |
project.funder.name | National Nature Science Fund of China | ca_CA |
project.funder.name | Universitat Jaume I | ca_CA |
oaire.awardNumber | PGC2018-096872-B-I00 | ca_CA |
oaire.awardNumber | CIAICO/2021/163 | ca_CA |
oaire.awardNumber | 12071181 | ca_CA |
oaire.awardNumber | UJI-B2019-03 | ca_CA |
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