## Proceedings of the Japan Academy, Series A, Mathematical Sciences

### Fundamental unit system and class number of real bicyclic biquadratic number fields

Kunpeng Wang

#### Abstract

In this note, we study the unit groups and class numbers of three classes of bicyclic biquadratic number fields. Following Wada and Zhang's methods, the unit group and class number of a bicyclic biquadratic number field can be represented by the fundamental units and class numbers of their quadratic subgroups. The reason why this method works in our case is that the fundamental unit of the quadratic subfields of our bicyclic biquadratic fields can be determined explicitly.

#### Article information

Source
Proc. Japan Acad. Ser. A Math. Sci., Volume 77, Number 9 (2001), 147-150.

Dates
First available in Project Euclid: 23 May 2006

https://projecteuclid.org/euclid.pja/1148393008

Digital Object Identifier
doi:10.3792/pjaa.77.147

Mathematical Reviews number (MathSciNet)
MR1869110

Zentralblatt MATH identifier
1011.11071

#### Citation

Wang, Kunpeng. Fundamental unit system and class number of real bicyclic biquadratic number fields. Proc. Japan Acad. Ser. A Math. Sci. 77 (2001), no. 9, 147--150. doi:10.3792/pjaa.77.147. https://projecteuclid.org/euclid.pja/1148393008

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