Annihilators of the Ideal Class Group of a Cyclic Extension of an Imaginary Quadratic Field
Keyword(s):
AbstractThe aim of this paper is to study the group of elliptic units of a cyclic extension $L$ of an imaginary quadratic field $K$ such that the degree $[L:K]$ is a power of an odd prime $p$. We construct an explicit root of the usual top generator of this group, and we use it to obtain an annihilation result of the $p$-Sylow subgroup of the ideal class group of $L$.
2005 ◽
Vol 57
(3)
◽
pp. 375-394
◽
Keyword(s):
1993 ◽
Vol 117
(3)
◽
pp. 613-613
◽
Keyword(s):
1980 ◽
Vol 12
(2)
◽
pp. 191-196
◽
1990 ◽
Vol 108
(2)
◽
pp. 197-201
◽
Keyword(s):
1997 ◽
Vol 49
(2)
◽
pp. 283-300
◽
Keyword(s):