Nurhabibah, Nurhabibah (2023) Peer Review: Some Results of The Coprime Graph of a Generalized Quaternion Group Q_4n. UIN Jakarta. (Unpublished)
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Abstract
The Coprime graph is a graph from a finite group that is defined based on the order of each element of the group. In this research, we determine the coprime graph of generalized quaternion group Q_(4n) and its properties. The method used is to study literature and analyze by finding patterns based on some examples. The first result of this research is the form of the coprime graph of a generalized quaternion group Q_(4n) when n = 2^k, n an odd prime number, n an odd composite number, and n an even composite number. The next result is that the total of a cycle contained in the coprime graph of a generalized quaternion group Q_(4n) and cycle multiplicity when is an odd prime number is p-1.
| Item Type: | Other |
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| Subjects: | Q Science > QA Mathematics |
| Divisions: | Fakultas Matematika dan ilmu Pengetahuan Alam |
| Depositing User: | Dr. I Gede Adhitya Wisnu Wardhana |
| Date Deposited: | 06 Apr 2023 03:37 |
| Last Modified: | 06 Apr 2023 03:37 |
| URI: | http://eprints.unram.ac.id/id/eprint/36040 |
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