Journal of the Ramanujan Mathematical Society
Volume 34, Issue 1, March 2019 pp. 143–150.
Distribution of prime ideals across ideal classes in the class groups
Authors:
Prem Prakash Pandey
Author institution:Department of Mathematics, IISER Berhampur, Engineering School Road, Khodasingi, Brahmapur 760 010, India
Summary:
In this article we investigate the distribution of prime ideals of
residue degree bigger than one across the ideal classes in the
class group of a number field L. A criterion for the class group
of L being generated by the classes of prime ideals of residue
degree f > 1 is provided. Further, some consequences of this study
on the solvability of norm equations for L/Q and on the
problem of finding annihilators for relative extensions are
discussed.
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