Massey products in the Galois cohomology of number fields
Massey products in the Galois cohomology of number fields
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数域伽罗瓦上同调中的梅西积
DOI：
10.11588/heidok.00004418
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发表时间：
2004
期刊：
影响因子：
--
通讯作者：
Denis Vogel
中科院分区：
文献类型：
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作者：
Denis Vogel
研究了Q的有限素数集外极大非分歧p-扩张的伽罗瓦群与二次数域的p-类域塔的伽罗瓦群的关系结构。这种关系结构描述的梅西产品的伽罗瓦上同调数域。一个连接是给米尔诺不变量和Redei符号。特别地，我们从链环理论证明了Porter和Turaev定理的一个数论类似。
We study the relation structure of the Galois group of the maximal outside a finite set of primes unramified p-extension of Q and of the Galois group of the p-class field tower of a quadratic number field. This relation structure is described in terms of Massey products in the Galois cohomology of number fields. A connection is given to Milnor invariants and Redei symbols. In particluar, we prove a number theoretic analogue of the theorem of Porter and Turaev from link theory.