Finite cyclic group of p-power order and its compatibility conditions
Finite cyclic groups of p-power order, where p represents a prime number, have long been an interesting field of study in abstract algebra. This paper investigates the compatibility conditions that control their existence and behaviour. An overview of cyclic groups, automorphisms and their propertie...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Universiti Malaysia Pahang Publishing
2023
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| Subjects: | |
| Online Access: | http://umpir.ump.edu.my/id/eprint/41616/ http://umpir.ump.edu.my/id/eprint/41616/1/Finite%20cyclic%20group%20of%20p-power%20order%20and%20its%20compatibility%20conditions_Upload.pdf |
| Summary: | Finite cyclic groups of p-power order, where p represents a prime number, have long been an interesting field of study in abstract algebra. This paper investigates the compatibility conditions that control their existence and behaviour. An overview of cyclic groups, automorphisms and their properties is given as groundwork for this research. By analysing the interaction between the group's order and its generator, we discovered the compatibility conditions and presented them as the primary finding in this paper. |
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