Conjugacy of Sylow 2-Subloops of the Chein Loops M 2n (G, 2) |
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| Authors: | Stephen M Gagola III |
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| Institution: | 1. Department of Mathematics , Case Western Reserve University , Cleveland , USA stephen.gagola@case.edu |
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| Abstract: | In general, Sylow's Theorems do not hold for finite Moufang loops. It can be seen that if p is an odd prime then the Sylow p-subloops of the Chein loop M 2n (G, 2) are conjugate. Here we prove that it is also true that all the Sylow 2-subloops of M 2n (G, 2) are conjugate. |
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| Keywords: | Chein loops Conjugacy classes Moufang loops Sylow's Theorem |
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