Counterexamples to a conjecture of Lemmermeyer

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dc.creatorBoston, Nigel
dc.creatorLeedham-Green, Charles
dc.date1998-08-31
dc.date.accessioned2026-07-07T05:25:51Z
dc.date.available2026-07-07T05:25:51Z
dc.descriptionWe 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.
dc.identifierhttps://arxiv.org/abs/math/9808146
dc.identifierhttp://arxiv.org/abs/math/9808146
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77341
dc.subjectNumber Theory
dc.titleCounterexamples to a conjecture of Lemmermeyer
dc.typetext

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