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INFINITE GROUPS WITH AN ANTICENTRAL ELEMENT

dc.contributor.authorErsoy, Kivanc
dc.date.accessioned2025-01-09T20:12:06Z
dc.date.available2025-01-09T20:12:06Z
dc.date.issued2012
dc.identifier.issn0092-7872
dc.identifier.urihttps://doi.org/10.1080/00927872.2011.614666
dc.identifier.urihttps://hdl.handle.net/20.500.14124/8371
dc.description.abstractAn element of a group is called anticentral if the conjugacy class of that element is equal to the coset of the commutator subgroup containing that element. A group is called Camina group if every element outside the commutator subgroup is anticentral. In this paper, we investigate the structure of locally finite groups with an anticentral element. Moreover, we construct some non-periodic examples of Camina groups, which are not locally solvable.en_US
dc.description.sponsorshipScientific and Technological Research Council of Turkey (TUBITAK) BIDEB 2219 International Post Doctoral Research Fellowship; TUBITAKen_US
dc.description.sponsorshipThis study is carried out under the supervision of Professor Patrizia Longobardi and Professor Mercede Maj of University of Salerno. I would like to express my graditude to Professor Longobardi and Professor Maj for their suggestions and comments. I also would like to thank Professor David Chillag and Professor Marcel Herzog since they suggested to look at anticentral elements. I would like to thank University of Salerno for hospitality and the colleagues in University of Salerno for their kindness and hospitality. This study is supported by The Scientific and Technological Research Council of Turkey (TUBITAK) BIDEB 2219 International Post Doctoral Research Fellowship. I would like to thank TUBITAK for the support.en_US
dc.language.isoengen_US
dc.publisherTaylor & Francis Incen_US
dc.relation.ispartofCommunications in Algebraen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectAnticentral elementsen_US
dc.subjectCamina groupsen_US
dc.subjectLocally finite groupsen_US
dc.titleINFINITE GROUPS WITH AN ANTICENTRAL ELEMENTen_US
dc.typearticleen_US
dc.authoridErsoy, Kivanc/0000-0001-6492-3662
dc.departmentMimar Sinan Güzel Sanatlar Üniversitesien_US
dc.identifier.doi10.1080/00927872.2011.614666
dc.identifier.volume40en_US
dc.identifier.issue12en_US
dc.identifier.startpage4627en_US
dc.identifier.endpage4638en_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.identifier.wosqualityQ4
dc.identifier.wosWOS:000315148900020
dc.identifier.scopus2-s2.0-84874291221
dc.identifier.scopusqualityQ2
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.snmzKA_20250105


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