TY - JOUR
T1 - A capitulation problem and Greenberg's conjecture on real quadratic fields
AU - Fukuda, T.
AU - Komatsu, Keiichi
PY - 1996/1
Y1 - 1996/1
N2 - We give a sufficient condition in order that an ideal of a real quadratic field F capitulates in the cyclotomic ℤ3-extension of F by using a unit of an intermediate field. Moreover, we give new examples of F's for which Greenberg's conjecture holds by calculating units of fields of degree 6, 18, 54 and 162.
AB - We give a sufficient condition in order that an ideal of a real quadratic field F capitulates in the cyclotomic ℤ3-extension of F by using a unit of an intermediate field. Moreover, we give new examples of F's for which Greenberg's conjecture holds by calculating units of fields of degree 6, 18, 54 and 162.
KW - Computation
KW - Iwasawa invariants
KW - Real quadratic fields unit groups
UR - http://www.scopus.com/inward/record.url?scp=0030360102&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0030360102&partnerID=8YFLogxK
U2 - 10.1090/S0025-5718-96-00676-X
DO - 10.1090/S0025-5718-96-00676-X
M3 - Article
AN - SCOPUS:0030360102
SN - 0025-5718
VL - 65
SP - 313
EP - 318
JO - Mathematics of Computation
JF - Mathematics of Computation
IS - 213
ER -