Iterated crossed product of cyclic groups

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dc.authorid0000-0002-3754-8622en_US
dc.authorid0000-0002-7111-3462en_US
dc.contributor.authorÇetinalp, Esra Kırmızı
dc.contributor.authorKarpuz Güzel, Eylem
dc.date.accessioned2019-12-06T21:15:25Z
dc.date.available2019-12-06T21:15:25Z
dc.date.issued2018
dc.departmentKMÜ, Kamil Özdağ Fen Fakültesi, Matematik Bölümüen_US
dc.descriptionWOS:000451335800010en_US
dc.description.abstractIn Panaite [Iterated crossed products, J. Algebra Appl. 13(7), 14580036 (2014)], Panaite studied iterated crossed product construction from the point of algebraic structures. In this paper, we study iterated crossed product from the point of Combinatorial Group Theory and define a new version of the crossed product of groups. First, we give some conditions for this new product to be a group, then we obtain a presentation for iterated crossed product of cyclic groups. Additionally, using this presentation, we find a complete rewriting system and thus we obtain normal form structure of elements of this new group construction. This gives us the solvability of the word problem for this product.en_US
dc.description.sponsorshipScientific Research Fund of Karamanoglu Mehmetbey UniversityKaramanoglu Mehmetbey University [17-M-16]en_US
dc.description.sponsorshipThe authors would like to thank Professor A. S. Cevik for his enthusiastic encouragement in writing up this paper. This work is supported by the Scientific Research Fund of Karamanoglu Mehmetbey University Project No: 17-M-16.en_US
dc.identifier.citationÇetinalp, E. K., Karpuz, E. G. (2018). Iterated crossed product of cyclic groups. Bulletin of the Iranian Mathematical Society, 44, 6, 1493-1508.
dc.identifier.doi10.1007/s41980-018-0103-0
dc.identifier.endpage1508en_US
dc.identifier.issn1017-060X
dc.identifier.issn1735-8515
dc.identifier.issue6en_US
dc.identifier.scopus2-s2.0-85056862715
dc.identifier.scopusqualityQ2
dc.identifier.startpage1493en_US
dc.identifier.urihttps://dx.doi.org/10.1007/s41980-018-0103-0
dc.identifier.urihttps://hdl.handle.net/11492/2580
dc.identifier.volume44en_US
dc.identifier.wosWOS:000451335800010
dc.identifier.wosqualityQ4
dc.indekslendigikaynakWeb of Sceince
dc.indekslendigikaynakScopus
dc.institutionauthorÇetinalp, Esra Kırmızı
dc.institutionauthorKarpuz Güzel, Eylem
dc.language.isoen
dc.publisherSpringer Singapore Pte Ltden_US
dc.relation.journalBulletin of the Iranian Mathematical Societyen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectCrossed Producten_US
dc.subjectIterated Crossed Producten_US
dc.subjectRewriting Systemen_US
dc.subjectNormal Formen_US
dc.titleIterated crossed product of cyclic groupsen_US
dc.typeArticle

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