CONJUGACY OF SYLOW 2-SUBLOOPS OF THE CHEIN LOOPS M_(2n)(G, 2)

摘要

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.