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The Number of Sylow p-Subloops in Finite Moufang Loops |
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| Authors: | Stephen M Gagola III |
| Institution: | 1. Department of Mathematics , University of Arizona , Tucson, Arizona, USA sgagola@math.arizona.edu |
| Abstract: | We prove that if L is a finite Moufang loop and p is a Sylow prime for L then the number of Sylow p-subloops of L is congruent to one modulo p. |
| Keywords: | Groups with triality Moufang loops Paige loops Sylow's theorem |