Generating some finite groups using sequential insertion systems

The operation of insertion in theoretical computer science has spurred much interest among researchers across many disciplines, where initially, it was introduced to generalize the concatenation operation. Previously, it was shown that a new variant of insertion, called sequential insertion systems...

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Main Authors: Yosman, Ahmad Firdaus, Fong, Wan Heng, Sarmin, Nor Haniza, Turaev, Sherzod
Format: Conference or Workshop Item
Language:English
Published: 2017
Subjects:
Online Access:http://irep.iium.edu.my/57003/
http://irep.iium.edu.my/57003/1/Generating%20some%20finite%20groups%20using%20sequential%20insertion%20systems-4BIGTC2017.pdf
id iium-57003
recordtype eprints
spelling iium-570032017-05-25T07:45:52Z http://irep.iium.edu.my/57003/ Generating some finite groups using sequential insertion systems Yosman, Ahmad Firdaus Fong, Wan Heng Sarmin, Nor Haniza Turaev, Sherzod QA Mathematics QA75 Electronic computers. Computer science The operation of insertion in theoretical computer science has spurred much interest among researchers across many disciplines, where initially, it was introduced to generalize the concatenation operation. Previously, it was shown that a new variant of insertion, called sequential insertion systems with interactions, could generate all finite cyclic and dihedral groups. In this paper, we show that sequential insertion systems with interactions are also able to generate the quaternion group and all symmetric groups. We also determine the relation between sequential insertion systems with interactions and bonded sequential insertion systems. 2017 Conference or Workshop Item NonPeerReviewed application/pdf en http://irep.iium.edu.my/57003/1/Generating%20some%20finite%20groups%20using%20sequential%20insertion%20systems-4BIGTC2017.pdf Yosman, Ahmad Firdaus and Fong, Wan Heng and Sarmin, Nor Haniza and Turaev, Sherzod (2017) Generating some finite groups using sequential insertion systems. In: 4th Biennial International Group Theory Conference 2017 (4BIGTC2017), 23rd-2th6 January 2017, Kuala Lumpur, Malaysia. (Unpublished)
repository_type Digital Repository
institution_category Local University
institution International Islamic University Malaysia
building IIUM Repository
collection Online Access
language English
topic QA Mathematics
QA75 Electronic computers. Computer science
spellingShingle QA Mathematics
QA75 Electronic computers. Computer science
Yosman, Ahmad Firdaus
Fong, Wan Heng
Sarmin, Nor Haniza
Turaev, Sherzod
Generating some finite groups using sequential insertion systems
description The operation of insertion in theoretical computer science has spurred much interest among researchers across many disciplines, where initially, it was introduced to generalize the concatenation operation. Previously, it was shown that a new variant of insertion, called sequential insertion systems with interactions, could generate all finite cyclic and dihedral groups. In this paper, we show that sequential insertion systems with interactions are also able to generate the quaternion group and all symmetric groups. We also determine the relation between sequential insertion systems with interactions and bonded sequential insertion systems.
format Conference or Workshop Item
author Yosman, Ahmad Firdaus
Fong, Wan Heng
Sarmin, Nor Haniza
Turaev, Sherzod
author_facet Yosman, Ahmad Firdaus
Fong, Wan Heng
Sarmin, Nor Haniza
Turaev, Sherzod
author_sort Yosman, Ahmad Firdaus
title Generating some finite groups using sequential insertion systems
title_short Generating some finite groups using sequential insertion systems
title_full Generating some finite groups using sequential insertion systems
title_fullStr Generating some finite groups using sequential insertion systems
title_full_unstemmed Generating some finite groups using sequential insertion systems
title_sort generating some finite groups using sequential insertion systems
publishDate 2017
url http://irep.iium.edu.my/57003/
http://irep.iium.edu.my/57003/1/Generating%20some%20finite%20groups%20using%20sequential%20insertion%20systems-4BIGTC2017.pdf
first_indexed 2023-09-18T21:20:31Z
last_indexed 2023-09-18T21:20:31Z
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