We obtain a new method for the study of class groups of cyclotomic fields by investigating cyclotomic integers of prescribed absolute value. Explicit subgroups of the classgroup C modulo the class group C + of the maximal real subfield are exhibited and lower bounds on their orders are derived. For
โฆ LIBER โฆ
The class group of all cyclotomic integers
โ Scribed by Armand Brumer
- Publisher
- Elsevier Science
- Year
- 1981
- Tongue
- English
- Weight
- 271 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0022-4049
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Let K be a real abelian number field satisfying certain conditions and K n the n th layer of the cyclotomic Z p -extension of K. We study the relation between the p-Sylow subgroup of the ideal class group and that of the unit group module the cyclotomic unit group of K n . We give certain sufficient