“School of Mathematics”
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| Paper IPM / M / 73 |
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| Abstract: | |
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In this paper some aspects of polygroups are studied. By using the concept of generalized permutation, we define permutation polygroups and some concepts related to it. We obtain a generalization of cayley's
theorem as well as some interesting related results. We also define the concept of weak polygroups which is a generalization of polygroups and some concepts related to it. Moreover, we define a semi-direct hyperproduct of two weak polygroups in order to obtain an extension of weak polygroups by weak polygroups.
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