The cyclic sequences in non-Abelian groups

Deveci, Ö; Shannon, AG; Mansımova, A

The cyclic sequences in non-Abelian groups

Deveci, Ö Shannon, AG Mansımova, A

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Publisher:: Taylor & Francis
Publication Type:: Journal Article
Citation:: Communications in Algebra, 2023, 51, (7), pp. 2956-2962
Issue Date:: 2023-01-01

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Field	Value	Language
dc.contributor.author	Deveci, Ö
dc.contributor.author	Shannon, AG
dc.contributor.author	Mansımova, A
dc.date.accessioned	2024-03-14T23:07:45Z
dc.date.available	2024-03-14T23:07:45Z
dc.date.issued	2023-01-01
dc.identifier.citation	Communications in Algebra, 2023, 51, (7), pp. 2956-2962
dc.identifier.issn	0092-7872
dc.identifier.issn	1532-4125
dc.identifier.uri	http://hdl.handle.net/10453/176733
dc.description.abstract	In this paper, we describe the cyclic 3-nacci sequence and the cyclic generalized order-3 Pell sequence in the non-abelian groups and then we investigate them in non-abelian finite groups in detail. Furthermore, we give the lengths of the periods of the cyclic 3-nacci sequence and the cyclic generalized order-3 Pell sequence in the polyhedral group (Formula presented.) with respect to the generating triple (Formula presented.) as applications of the results produced.
dc.language	en
dc.publisher	Taylor & Francis
dc.relation.ispartof	Communications in Algebra
dc.relation.isbasedon	10.1080/00927872.2023.2175839
dc.rights	info:eu-repo/semantics/closedAccess
dc.subject	0101 Pure Mathematics
dc.subject.classification	General Mathematics
dc.subject.classification	4904 Pure mathematics
dc.title	The cyclic sequences in non-Abelian groups
dc.type	Journal Article
utslib.citation.volume	51
utslib.for	0101 Pure Mathematics
pubs.organisational-group	University of Technology Sydney
pubs.organisational-group	University of Technology Sydney/Faculty of Engineering and Information Technology
utslib.copyright.status	closed_access	*
dc.date.updated	2024-03-14T23:07:44Z
pubs.issue	7
pubs.publication-status	Published
pubs.volume	51
utslib.citation.issue	7

Abstract:

In this paper, we describe the cyclic 3-nacci sequence and the cyclic generalized order-3 Pell sequence in the non-abelian groups and then we investigate them in non-abelian finite groups in detail. Furthermore, we give the lengths of the periods of the cyclic 3-nacci sequence and the cyclic generalized order-3 Pell sequence in the polyhedral group (Formula presented.) with respect to the generating triple (Formula presented.) as applications of the results produced.

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http://hdl.handle.net/10453/176733