Mild pro-p-groups with 4 generators

Details Mild pro-p-groups with 4 generators Mild pro-p-groups with 4 generators

2006-02-09

arxiv.org/abs/math/0602189v1

Mathematics

Number Theory

12 pages. No figures. LaTeX

Scientific paper

Let p be an odd prime and S a finite set of primes = 1 mod p. We give an
effective criterion for determining when the Galois group G=G_S(p) of the
maximal p-extension of Q unramified outside of S is mild when |S|=4 and the cup
product H^1(G,Z/pZ) \otimes H^1(G,Z/pZ) --> H^2(G,Z/pZ) is surjective.

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