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On the unramified extensions of the prime cyclotomic number field and its quadratic extensions
- Source :
- Nagoya Math. J. 115 (1989), 151-164
- Publication Year :
- 1989
- Publisher :
- Cambridge University Press (CUP), 1989.
-
Abstract
- It is interesting to know what kinds of primes are the factors of the class number of an algebraic number field, and especially to find ones being prime to the degree. About this matter it is desirable to construct the unramified Abelian extensions plainly. In this paper we shall show some of them for the prime cyclotomic number field and its quadratic extensions using the units of subfields.
- Subjects :
- Discrete mathematics
010308 nuclear & particles physics
Mathematics::Number Theory
General Mathematics
010102 general mathematics
11R18
11R29
Algebraic number field
Cyclotomic field
01 natural sciences
Prime (order theory)
Quadratic equation
0103 physical sciences
Quadratic field
0101 mathematics
Mathematics
Subjects
Details
- ISSN :
- 21526842 and 00277630
- Volume :
- 115
- Database :
- OpenAIRE
- Journal :
- Nagoya Mathematical Journal
- Accession number :
- edsair.doi.dedup.....8fbe0b89606118f82d4031f928a991dd