Generating finite cyclic and dihedral groups using sequential insertion systems with interactions

The operation of insertion has been studied extensively throughout the years for its impact in many areas of theoretical computer science such as DNA computing. First introduced as a generalization of the concatenation operation, many variants of insertion have been introduced, each with their own c...

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Main Authors:	Fong, Wan Heng, Sarmin, Nor Haniza, Turaev, Sherzod, Yosman, Ahmad Firdaus
Format:	Conference or Workshop Item
Language:	English English English
Published:	American Institute of Physics 2017
Subjects:	QA Mathematics QA75 Electronic computers. Computer science
Online Access:	http://irep.iium.edu.my/58704/ http://irep.iium.edu.my/58704/ http://irep.iium.edu.my/58704/ http://irep.iium.edu.my/58704/1/58704_Generating%20finite%20cyclic%20and%20dihedral.pdf http://irep.iium.edu.my/58704/2/58704_Generating%20finite%20cyclic%20and%20dihedral_SCOPUS.pdf http://irep.iium.edu.my/58704/13/58704%20Generating%20finite%20cyclic%20and%20dihedral%20groups%20WOS.pdf

id	iium-58704
recordtype	eprints
spelling	iium-587042019-08-18T02:31:49Z http://irep.iium.edu.my/58704/ Generating finite cyclic and dihedral groups using sequential insertion systems with interactions Fong, Wan Heng Sarmin, Nor Haniza Turaev, Sherzod Yosman, Ahmad Firdaus QA Mathematics QA75 Electronic computers. Computer science The operation of insertion has been studied extensively throughout the years for its impact in many areas of theoretical computer science such as DNA computing. First introduced as a generalization of the concatenation operation, many variants of insertion have been introduced, each with their own computational properties. In this paper, we introduce a new variant that enables the generation of some special types of groups called sequential insertion systems with interactions. We show that these new systems are able to generate all ﬁnite cyclic and dihedral groups. American Institute of Physics 2017 Conference or Workshop Item PeerReviewed application/pdf en http://irep.iium.edu.my/58704/1/58704_Generating%20finite%20cyclic%20and%20dihedral.pdf application/pdf en http://irep.iium.edu.my/58704/2/58704_Generating%20finite%20cyclic%20and%20dihedral_SCOPUS.pdf application/pdf en http://irep.iium.edu.my/58704/13/58704%20Generating%20finite%20cyclic%20and%20dihedral%20groups%20WOS.pdf Fong, Wan Heng and Sarmin, Nor Haniza and Turaev, Sherzod and Yosman, Ahmad Firdaus (2017) Generating finite cyclic and dihedral groups using sequential insertion systems with interactions. In: 4th International Conference on Mathematical Sciences - Mathematical Sciences: Championing the Way in a Problem Based and Data Driven Society, ICMS 2016;, 15th-17th November 2016, Palm Garden Hotel, IOI Resort, Putrajaya, Malaysia. http://aip.scitation.org/doi/abs/10.1063/1.4980954 10.1063/1.4980954
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
language	English English English
topic	QA Mathematics QA75 Electronic computers. Computer science
spellingShingle	QA Mathematics QA75 Electronic computers. Computer science Fong, Wan Heng Sarmin, Nor Haniza Turaev, Sherzod Yosman, Ahmad Firdaus Generating finite cyclic and dihedral groups using sequential insertion systems with interactions
description	The operation of insertion has been studied extensively throughout the years for its impact in many areas of theoretical computer science such as DNA computing. First introduced as a generalization of the concatenation operation, many variants of insertion have been introduced, each with their own computational properties. In this paper, we introduce a new variant that enables the generation of some special types of groups called sequential insertion systems with interactions. We show that these new systems are able to generate all ﬁnite cyclic and dihedral groups.
format	Conference or Workshop Item
author	Fong, Wan Heng Sarmin, Nor Haniza Turaev, Sherzod Yosman, Ahmad Firdaus
author_facet	Fong, Wan Heng Sarmin, Nor Haniza Turaev, Sherzod Yosman, Ahmad Firdaus
author_sort	Fong, Wan Heng
title	Generating finite cyclic and dihedral groups using sequential insertion systems with interactions
title_short	Generating finite cyclic and dihedral groups using sequential insertion systems with interactions
title_full	Generating finite cyclic and dihedral groups using sequential insertion systems with interactions
title_fullStr	Generating finite cyclic and dihedral groups using sequential insertion systems with interactions
title_full_unstemmed	Generating finite cyclic and dihedral groups using sequential insertion systems with interactions
title_sort	generating finite cyclic and dihedral groups using sequential insertion systems with interactions
publisher	American Institute of Physics
publishDate	2017
url	http://irep.iium.edu.my/58704/ http://irep.iium.edu.my/58704/ http://irep.iium.edu.my/58704/ http://irep.iium.edu.my/58704/1/58704_Generating%20finite%20cyclic%20and%20dihedral.pdf http://irep.iium.edu.my/58704/2/58704_Generating%20finite%20cyclic%20and%20dihedral_SCOPUS.pdf http://irep.iium.edu.my/58704/13/58704%20Generating%20finite%20cyclic%20and%20dihedral%20groups%20WOS.pdf
first_indexed	2023-09-18T21:23:02Z
last_indexed	2023-09-18T21:23:02Z
_version_	1777412008842362880

Generating finite cyclic and dihedral groups using sequential insertion systems with interactions

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