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http://gnanaganga.inflibnet.ac.in:8080/jspui/handle/123456789/6350
Title: | Distribution of Prime Ideals Across Ideal Classes in the Class Groups |
Authors: | Prem Prakash Pandey |
Issue Date: | 2019 |
Publisher: | Journal of the Ramanujan Mathematical Society |
Abstract: | 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/a�� and on the problem of finding annihilators for relative extensions are discussed. |
URI: | http://gnanaganga.inflibnet.ac.in:8080/jspui/handle/123456789/6350 |
Appears in Collections: | Articles to be qced |
Files in This Item:
File | Size | Format | |
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Distribution of prime ideals across ideal classes in the class groups.pdf | 364.38 kB | Adobe PDF | View/Open |
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