Counterexamples to a conjecture of Lemmermeyer

Authors
Boston, N Leedham-Green, C
Citation
N. Boston et C. Leedham-green, Counterexamples to a conjecture of Lemmermeyer, ARCH MATH, 72(3), 1999, pp. 177-179
Citations number
3
Categorie Soggetti
Mathematics
Journal title
ARCHIV DER MATHEMATIK
ISSN journal
0003889X → ACNP
Volume
72
Issue
3
Year of publication
1999
Pages
177 - 179
Database
ISI
SICI code
0003-889X(19990302)72:3<177:CTACOL>2.0.ZU;2-5
Abstract
We produce infinitely many finite 2-groups that do not embed with index 2 i n any group generated by involutions. This disproves a conjecture of Lemmer meyer and restricts the possible Galois groups of unramified 2-extensions, Galois over Q, of quadratic number fields.