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math.NT2000
Explicit computation of Galois p-groups unramified at p
Nigel Boston, Charles Leedham-Green
In this paper we introduce a new method for finding Galois groups by computer. This is particularly effective in the case of Galois groups of p-extensions ramified at finitely many…
math.NT1998
Counterexamples to a conjecture of Lemmermeyer
Nigel Boston, Charles Leedham-Green
We produce infinitely many finite 2-groups that do not embed with index 2 in any group generated by involutions. This disproves a conjecture of Lemmermeyer and restricts the possib…