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 (Unpublished)
 | There is a more recent version of this item available. |
![[img]](http://irep.iium.edu.my/style/images/fileicons/application_pdf.png) |
PDF
- Submitted Version
Restricted to Repository staff only Download (1MB) | Request a copy |
Abstract
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.
| Item Type: | Conference or Workshop Item (Invited Papers) |
|---|---|
| Additional Information: | 6846/57003 |
| Uncontrolled Keywords: | Finite groups, sequential insertion systems |
| Subjects: | Q Science > QA Mathematics Q Science > QA Mathematics > QA75 Electronic computers. Computer science |
| Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button): | UNSPECIFIED |
| Depositing User: | Dr. Sherzod Turaev |
| Date Deposited: | 22 May 2017 11:24 |
| Last Modified: | 25 May 2017 15:45 |
| URI: | http://irep.iium.edu.my/id/eprint/57003 |
Available Versions of this Item
- Generating some finite groups using sequential insertion systems. (deposited 22 May 2017 11:24) [Currently Displayed]
Actions (login required)
 |
View Item |
Download Statistics
Download Statistics