On order of elements in hypergroups and p-Sylow subhypergroups |
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| Authors: | F Jantani S Sh Mousavi V Leoreanu |
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| Institution: | 1. Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran;2. Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran;3. Faculty of Mathematics, Alexandru Ioan Cuza University, Isai, Romania |
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| Abstract: | In this paper we define a left order, right order and order of an element in a hypergroup, which has a left scalar identity, right scalar identity and scalar identity, respectively. Using left and right orders, we define and investigate some classes of subhypergroups, especially p-Sylow subhypergroups of a hypergroup. Moreover, some examples have been proposed to show that the Sylow theorems do not hold for polygroups. |
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| Keywords: | Homomorphism hypergroup strongly regular relations Sylow theorem |
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