On the characterization of local fields by their absolute Galois groups
On the characterization of local fields by their absolute Galois groups
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关于局部域的绝对伽罗瓦群的表征
DOI：
10.1016/0022-314x(79)90014-3
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发表时间：
1979
影响因子：
0.7
通讯作者：
J. Ritter
中科院分区：
文献类型：
--
作者：
M. Jarden;J. Ritter
对于Henselianp-adic有理数域的有限域扩张，给出了域具有同构绝对伽罗瓦群的充要条件;从而假设p次单位根（当p = 2时为4次）属于域。并举例说明。
For finite field extensions of the field of Henselianp-adic rational numbers necessary and sufficient conditions are given which state that the fields have isomorphic absolute Galois groups; it is thereby supposed that ap-th root of unity (a 4-th whenp= 2) belongs to the fields. Also examples are discussed.