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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2024.6
- 수록면
- 303 - 309 (7page)
- DOI
- 10.5666/KMJ.2024.64.2.303
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초록· 키워드
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An imaginary bicyclic biquadratic number field K is a field of the form Q(√−m, √−n) where m and n are squarefree positive integers. The ideal class number hK of K is the order of the abelian group IK/PK, where IK and PK are the groups of fractional and principal fractional ideals in the ring of integers OK of K, respectively. This provides a measure on how far is OK from being a PID. We determine all imaginary bicyclic biquadratic number fields with class number 5. We show there are exactly 243 such fields.
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