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We list all subfields of cyclotomic function fields over rational function fields with class number three. We also determine all the imaginary abelian extensions with relative class number three, explicitly.
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참고문헌 (16)
참고문헌 신청
안재현 / 2007 / Determination of all subfields of cyclotomic function fields with divisor class number two / 대한수학회논문집 22(2):163~171
Y. Aubry / 1996 / Finite fields and applications / Cambridge Univ. Press :23~29
S. Bae / 2002 / Class numbers of cyclotomic function fields / Acta Arith 102(3):251~259
L. Carlitz / 1935 / On certain functions connected with polynomials in a Galois field / Duke Math. J 1(2):137~168
D. R. Hayes / 1974 / Explicit class field theory for rational function fields / Trans. Amer. Math. Soc 189:77~91
Y. Aubry / 1996 / Finite fields and applications / Cambridge Univ. Press :23~29
S. Bae / 2002 / Class numbers of cyclotomic function fields / Acta Arith 102(3):251~259
L. Carlitz / 1935 / On certain functions connected with polynomials in a Galois field / Duke Math. J 1(2):137~168
D. R. Hayes / 1974 / Explicit class field theory for rational function fields / Trans. Amer. Math. Soc 189:77~91
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