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- W2956057854 abstract "The nonabelian tensor product is defined for a pair of groups which act on each other provided the actions satisfying the compatibility conditions. Different pairs of compatible actions will give different nonabelian tensor products. Thus, in this research, the maximum number of different nonabelian tensor products between two groups is found by determining the exact number of compatible pairs of actions and focusing only on the finite cyclic 2-groups. This research starts with determination of the exact number of compatible pairs of actions by using the necessary and sufficient conditions of finite cyclic 2-groups to act compatibly on each other. In order to find the number of compatible pairs of actions of finite cyclic 2-groups, the compatible action graph is introduced. Then, some properties of he compatible action graph and a subgraph of the compatible action graph are determined." @default.
- W2956057854 created "2019-07-12" @default.
- W2956057854 creator A5051337094 @default.
- W2956057854 date "2018-06-01" @default.
- W2956057854 modified "2023-09-24" @default.
- W2956057854 title "Compatible pairs of actions for finite cyclic 2-groups and the associated compatible action graphs" @default.
- W2956057854 hasPublicationYear "2018" @default.
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