The 2-ideal class groups of Q(zeta(l))

Authors
Cornacchia, P
Citation
P. Cornacchia, The 2-ideal class groups of Q(zeta(l)), NAG MATH J, 162, 2001, pp. 1-18
Citations number
18
Categorie Soggetti
Mathematics
Journal title
NAGOYA MATHEMATICAL JOURNAL
ISSN journal
00277630 → ACNP
Volume
162
Year of publication
2001
Pages
1 - 18
Database
ISI
SICI code
0027-7630(200106)162:<1:T2CGOQ>2.0.ZU;2-R
Abstract
For prime l we study the structure of the 2-part of the ideal class group C l of Q(zeta (l)). We prove that Cl x z(2) is a cyclic Galois module for all 1 < 10000 with one exception and compute the explicit structure in several cases.