Abstract
This paper introduces two classes of totally real quartic number fields, one of biquadratic extensions and one of cyclic extensions, each of which has a non-principal Euclidean ideal. It generalizes techniques of Graves used to prove that the number field Q(√2,√35) has a non-principal Euclidean ideal.
| Original language | English |
|---|---|
| Pages (from-to) | 1123-1136 |
| Number of pages | 13 |
| Journal | International Journal of Number Theory |
| Volume | 12 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 28 Sept 2015 |
Keywords
- Euclidean ideals
- Hilbert class field
- cyclic class group
- biquadratic quartic field
- cyclic quartic field
Fingerprint
Dive into the research topics of 'Two classes of number fields with a non-principal Euclidean ideal'. Together they form a unique fingerprint.Cite this
- APA
- Author
- BIBTEX
- Harvard
- Standard
- RIS
- Vancouver