Automata diagram for finite groups

Recently, automata have been related to group theory by using some modification devices. These modification devices are namely deterministic finite automata and modified Watson-Crick finite automata. The automata can be linked to group theory when some automaton diagrams are drawn to recognize the d...

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Main Authors:	Fong, Wan Heng, Gan, Yee Siang, Sarmin, Nor Haniza, Turaev, Sherzod
Format:	Conference or Workshop Item
Language:	English
Published:	2013
Subjects:	QA Mathematics QA75 Electronic computers. Computer science
Online Access:	http://irep.iium.edu.my/32265/ http://irep.iium.edu.my/32265/4/Automata_Diagram_for_Finite_Groups_ISMNS2013.pdf

id	iium-32265
recordtype	eprints
spelling	iium-322652016-05-11T09:31:50Z http://irep.iium.edu.my/32265/ Automata diagram for finite groups Fong, Wan Heng Gan, Yee Siang Sarmin, Nor Haniza Turaev, Sherzod QA Mathematics QA75 Electronic computers. Computer science Recently, automata have been related to group theory by using some modification devices. These modification devices are namely deterministic finite automata and modified Watson-Crick finite automata. The automata can be linked to group theory when some automaton diagrams are drawn to recognize the data given in the Cayley table for the groups. Thus, the properties of groups can also be analyzed from the automaton diagrams. In this paper, the formal definitions for modified finite automata and modified Watson-Crick finite automata over the general case of finite groups are given. In addition, theorems are presented for the determination of a group by using the automaton diagram, and for the recognition of automata devices for groups. Lastly, the properties of centralizer of a group resulting from the analysis of automaton diagrams are also presented. 2013 Conference or Workshop Item PeerReviewed application/pdf en http://irep.iium.edu.my/32265/4/Automata_Diagram_for_Finite_Groups_ISMNS2013.pdf Fong, Wan Heng and Gan, Yee Siang and Sarmin, Nor Haniza and Turaev, Sherzod (2013) Automata diagram for finite groups. In: International Seminar on Mathematics and Natural Sciences, 15-17 August 2013, Samarkand, Uzbekistan.
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 Fong, Wan Heng Gan, Yee Siang Sarmin, Nor Haniza Turaev, Sherzod Automata diagram for finite groups
description	Recently, automata have been related to group theory by using some modification devices. These modification devices are namely deterministic finite automata and modified Watson-Crick finite automata. The automata can be linked to group theory when some automaton diagrams are drawn to recognize the data given in the Cayley table for the groups. Thus, the properties of groups can also be analyzed from the automaton diagrams. In this paper, the formal definitions for modified finite automata and modified Watson-Crick finite automata over the general case of finite groups are given. In addition, theorems are presented for the determination of a group by using the automaton diagram, and for the recognition of automata devices for groups. Lastly, the properties of centralizer of a group resulting from the analysis of automaton diagrams are also presented.
format	Conference or Workshop Item
author	Fong, Wan Heng Gan, Yee Siang Sarmin, Nor Haniza Turaev, Sherzod
author_facet	Fong, Wan Heng Gan, Yee Siang Sarmin, Nor Haniza Turaev, Sherzod
author_sort	Fong, Wan Heng
title	Automata diagram for finite groups
title_short	Automata diagram for finite groups
title_full	Automata diagram for finite groups
title_fullStr	Automata diagram for finite groups
title_full_unstemmed	Automata diagram for finite groups
title_sort	automata diagram for finite groups
publishDate	2013
url	http://irep.iium.edu.my/32265/ http://irep.iium.edu.my/32265/4/Automata_Diagram_for_Finite_Groups_ISMNS2013.pdf
first_indexed	2023-09-18T20:46:34Z
last_indexed	2023-09-18T20:46:34Z
_version_	1777409714550734848

Automata diagram for finite groups

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