关于K_2O_F的p^n-rank公式

On the Formula of the p^n-rank of the K_2O_F

使用Browkin的方法,将Browkin关于MilnorK-群K2OF的2-rank公式推广到pn-rank的情况(p为素数,n≥1为自然数),从而得到了代数数域F的pn-rank公式,其中F包含pn-次本原单位根。

A formula of the p^n-rank of the Milnor K-group K2OF is given by using the method that was used by Browkin for that of the 2-rank, where the p is a prime, n≥1 is a natural number, and F is an algebraic number field containing the primitive root of unity.