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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…
math.NT1998
Some cases of the Fontaine-Mazur conjecture, II
Nigel Boston
This is an updated and extended version of ANT-0024. We prove more special cases of the Fontaine-Mazur conjecture regarding p-adic Galois representations unramified at p, and we pr…