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On the group of modular units and the ideal class group

Authors :
Itoh, Tsuyoshi
Komatsu, Keiichi
Source :
Journal of Number Theory. Mar2007, Vol. 123 Issue 1, p193-203. 11p.
Publication Year :
2007

Abstract

Abstract: J.-M. Kim, S. Bae and I.-S. Lee showed that there exists an isomorphism between the p-primary part of the ideal class group and p-primary part of the unit group modulo cyclotomic unit group in for all sufficiently large n under some conditions. In the present paper, we shall give an analogue of their result for modular units. [Copyright &y& Elsevier]

Details

Language :
English
ISSN :
0022314X
Volume :
123
Issue :
1
Database :
Academic Search Index
Journal :
Journal of Number Theory
Publication Type :
Academic Journal
Accession number :
23743485
Full Text :
https://doi.org/10.1016/j.jnt.2006.07.009