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Proceedings of the American Mathematical Society
Volumn 127, Issue 2, 1999, Pages 355-361
The nonquadratic imaginary cyclic fields of 2-power degrees with class numbers equal to their genus class numbers
Author keywords

Class number; Cyclic number field; Genus field; Relative class number
Indexed keywords

EID: 22444452611     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9939-99-04548-7     Document Type: Article
Times cited : (4)
References (8)
  • 1
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    • (1981) Nat. Sei. Rep. Ochanomizu Univ. , vol.32 , pp. 23-34
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  • 2
    • 84968495007 scopus 로고
    • Determination of all nonquadratic imaginary cyclic number fields of 2-power degrees with ideal class groups of exponents
    • MR 95c:11124
    • [Loul] S. Louboutin. Determination of all nonquadratic imaginary cyclic number fields of 2-power degrees with ideal class groups of exponents 2. Math. Comp., 64 (1995), 323-340. MR 95c:11124
    • (1995) Math. Comp. , vol.64 , pp. 323-340
    • Louboutin, S.1
  • 3
    • 0030294734 scopus 로고    scopus 로고
    • A finiteness theorem for imaginary abelian number fields
    • MR 97f:11089
    • [Lou2] S. Louboutin. A finiteness theorem for imaginary abelian number fields. Manuscripta math., 91 (1996), 343-352. MR 97f:11089
    • (1996) Manuscripta Math. , vol.91 , pp. 343-352
    • Louboutin, S.1
  • 4
    • 0007125731 scopus 로고    scopus 로고
    • CM-fields with cyclic ideal class groups of 2-power orders
    • MR 98h:11139
    • [Lou3] S. Louboutin. CM-fields with cyclic ideal class groups of 2-power orders. J. of Nb. Th., 67 (1997), 1-10. MR 98h:11139
    • (1997) J. of Nb. Th. , vol.67 , pp. 1-10
    • Louboutin, S.1
  • 5
    • 51249166385 scopus 로고
    • On imaginary abelian number fields of type (2,2, ⋯, 2) with one class in each genus
    • MR 96j:1114G
    • [Miy] I. Miyada. On imaginary abelian number fields of type (2,2, ⋯, 2) with one class in each genus. Manuscripta math., 88 (1995), 535-540. MR 96j:1114G
    • (1995) Manuscripta Math. , vol.88 , pp. 535-540
    • Miyada, I.1
  • 6
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    • Determination of all non-quadratic imaginary cyclic number fields of 2-power degree with class number
    • CMP 98:09
    • [PK] Y.-H. Park and S.-H. Kwon. Determination of all non-quadratic imaginary cyclic number fields of 2-power degree with class number 20. Acta Arith., 83 (1998), 211-223. CMP 98:09
    • (1998) Acta Arith. , vol.83 , pp. 211-223
    • Park, Y.-H.1    Kwon, S.-H.2
  • 7
    • 0003254134 scopus 로고    scopus 로고
    • Introduction to Cyclotomic Fields
    • Springer-Verlag, MR 85g:11001
    • [Wa] L.C. Washington. Introduction to Cyclotomic Fields. Springer-Verlag, Grad. Texts Math. 83 (1997). MR 85g:11001
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  • 8
    • 84968482167 scopus 로고
    • The determination of the imaginary abelian number fields with classnumber one
    • MR 94g:11096
    • [Yam] K. Yamamura. The determination of the imaginary abelian number fields with classnumber one. Math. Comp., 62 (1994), 899-921. MR 94g:11096
    • (1994) Math. Comp. , vol.62 , pp. 899-921
    • Yamamura, K.1

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.