Compatible action graph for finite cyclic p-groups
The compatible actions are important in determining the nonabelian tensor product of groups. In this paper, the finite cyclic groups of the p-power order, where p is an odd prime are considered. The purpose of the paper is to find the intersection between a group and its subgroup for such type of gr...
| Main Authors: | , , , |
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| Format: | Conference or Workshop Item |
| Language: | English English |
| Published: |
2018
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| Subjects: | |
| Online Access: | http://umpir.ump.edu.my/id/eprint/22130/ http://umpir.ump.edu.my/id/eprint/22130/1/40.%20Compatible%20action%20graph%20for%20finite%20cyclic%20p-groups.pdf http://umpir.ump.edu.my/id/eprint/22130/2/40.1%20Compatible%20action%20graph%20for%20finite%20cyclic%20p%20-groups.pdf |
| Summary: | The compatible actions are important in determining the nonabelian tensor product of groups. In this paper, the finite cyclic groups of the p-power order, where p is an odd prime are considered. The purpose of the paper is to find the intersection between a group and its subgroup for such type of groups. For this goal, the compatible action graph for the finite cyclic groups of the p-power order has been defined and used to find the number of the compatible pairs of actions that have the p-power order, which represents the intersection between the compatible action graph and its subgraph. Furthermore, some properties of compatible action graph and its subgraph are given. |
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