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On the orders of ideal classes in prime cyclotomic fields

Published online by Cambridge University Press:  24 October 2008

Francisco Thaine
Francisco Thaine
Affiliation:
Universidade Estadual de Campinas, 13100 Campinas SF, Brazil and McGill University, 805 Sherbrooke West, Montreal, Canada
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Extract

In this article we exhibit a method complementary to the method presented in [4], that allows us, at least in some important cases, to obtain exact expressions for the orders of ideal classes of cyclotomic fields in terms of properties of the units of the field. We consider only the particular case in which the classes belong to the p-Sylow subgroup (A)p of the ideal class group of a real p-cyclotomic field, but it appears that the results can be generalized.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 108 , Issue 2 , September 1990 , pp. 197 - 201
Copyright
Copyright © Cambridge Philosophical Society 1990

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References

REFERENCES

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