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Let $G$ be a cyclic group of prime power order. There is a natural embedding of $\ZG$ into a product of rings of integers of cyclotomic fields. In this paper the image of the embedding is determined, and we also compute the index of the image.
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참고문헌 (5)
참고문헌 신청
B. H. Gross / 1988 / On the values of abelian L-functions at s = 0 / J. Fac. Sci. Univ. Tokyo Sect. IA Math 35 (1) : 177 ~ 197
B. Mazur / 1987 / Refined conjectures of the “Birch and Swinnerton-Dyer type” / Duke Math. J 54 (2) : 711 ~ 750
D. Burns / 2007 / Congruences between derivatives of abelian L-functions at s = 0 / Invent. Math 169 (3) : 451 ~ 499
K. Rubin / 1996 / A Stark conjecture “over Z” for abelian L-functions with multiple zeros / Ann. Inst. Fourier 46 (1) : 33 ~ 62
이준걸 / 2010 / CONGRUENCES OF L-VALUES FOR CYCLIC EXTENSIONS / 호남수학학술지 32 (4) : 791 ~ 795
B. Mazur / 1987 / Refined conjectures of the “Birch and Swinnerton-Dyer type” / Duke Math. J 54 (2) : 711 ~ 750
D. Burns / 2007 / Congruences between derivatives of abelian L-functions at s = 0 / Invent. Math 169 (3) : 451 ~ 499
K. Rubin / 1996 / A Stark conjecture “over Z” for abelian L-functions with multiple zeros / Ann. Inst. Fourier 46 (1) : 33 ~ 62
이준걸 / 2010 / CONGRUENCES OF L-VALUES FOR CYCLIC EXTENSIONS / 호남수학학술지 32 (4) : 791 ~ 795
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