Counterexamples to a conjecture of Lemmermeyer

Details Counterexamples to a conjecture of Lemmermeyer Counterexamples to a conjecture of Lemmermeyer

1998-08-31

arxiv.org/abs/math/9808146v1

Mathematics

Number Theory

Scientific paper

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 possible Galois groups of unramified 2-extensions, Galois
over the rationals, of quadratic number fields.

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