Let $p$ be an odd prime and $E/F$ a cyclic $p$-extension of number fields. We give a lower bound for the order of the kernel and cokernel of the natural extension map between the even étale $K$-groups of the ring of $S$-integers of $E/F$, where $S$ is a finite set of primes containing those which are $p$-adic.
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机译：假设$ p $是奇数质数，$ E / F $是数字字段的循环$ p $-扩展名。我们给出了自然扩展图的核和核的阶数的下界，即在$ E / F $的$ S $整数环的偶数étale$ K $-组之间，其中$ S $是有限的包含$ p $ -adic的素数集。
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