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Characterization of a cyclic group ring in terms of character values

이준걸
대한수학회 (The Korean Mathematical Society)|2015.01|대한수학회논문집 (Communications of the KMS)|제30권 제1호|pp. 1-5

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참고문헌

키워드

group rings
주제분류수학

초록

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.

Abstract

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.

참고문헌 (5)

  1. D. Burns, "Congruences between derivatives of abelian L-functions at s = 0", Invent. Math, 169(3), pp.451~499 (2007)
  2. B. H. Gross, "On the values of abelian L-functions at s = 0", J. Fac. Sci. Univ. Tokyo Sect. IA Math, 35(1), pp.177~197 (1988)
  3. 이준걸, "CONGRUENCES OF L-VALUES FOR CYCLIC EXTENSIONS", 호남수학학술지, 32(4), pp.791~795 (2010), 호남수학회
  4. B. Mazur, "Refined conjectures of the “Birch and Swinnerton-Dyer type”", Duke Math. J, 54(2), pp.711~750 (1987)
  5. K. Rubin, "A Stark conjecture “over Z” for abelian L-functions with multiple zeros", Ann. Inst. Fourier, 46(1), pp.33~62 (1996)

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