Counterexamples to a conjecture of Lemmermeyer

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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.

Keywords

Number Theory

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/77341

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9808146
 http://arxiv.org/abs/math/9808146

Collections

arXiv