Permutation groups in automata diagrams
Automata act as classical models for recognition devices. From the previous researches, the classical models of automata have been used to scan strings and to determine the types of languages a string belongs to. In the study of automata and group theory, it has been found that the properties of a...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Ibnu Sina Institute for Fundamental Science Studies, Universiti Teknologi Malaysia
2013
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/29793/ http://irep.iium.edu.my/29793/ http://irep.iium.edu.my/29793/1/PermutationGroups_in_Automata_Diagrams_MJFAS_9_1_35_40.pdf |
| Summary: | Automata act as classical models for recognition devices. From the previous researches, the classical models of automata have been used to scan strings
and to determine the types of languages a string belongs to. In the study of automata and group theory, it has been found that the properties of a group
can be recognized by the automata using the automata diagrams. There are two types of automata used to study the properties of a group, namely
modified finite automata and modified Watson-Crick finite automata. Thus, in this paper, automata diagrams are constructed to recognize permutation
groups using the data given by the Cayley table. Thus, the properties of permutation group are analyzed using the automaton diagram that has been
constructed. Moreover, some theorems for the properties of permutation group in term of automata are also given in this paper. |
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