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Mild pro-p-groups with 4 generators

Michael R. Bush·John Labute
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Abstract

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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Michael R. Bush, John Labute. 2006-02-09. Mild pro-p-groups with 4 generators. https://arxiv.org/abs/math/0602189

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