Mild pro-p-groups with 4 generators
Number Theory
2007-05-23 v1 Group Theory
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.
Keywords
Cite
@article{arxiv.math/0602189,
title = {Mild pro-p-groups with 4 generators},
author = {Michael R. Bush and John Labute},
journal= {arXiv preprint arXiv:math/0602189},
year = {2007}
}
Comments
12 pages. No figures. LaTeX