[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.2015.30.1.001

CHARACTERIZATION OF A CYCLIC GROUP RING IN TERMS OF CHARACTER VALUES

Lee, Joongul (Department of Mathematics Education Hongik University)

Publication Information

Communications of the Korean Mathematical Society / v.30, no.1, 2015 , pp. 1-5 More about this Journal

Abstract

Let G be a cyclic group of prime power order. There is a natural embedding of $\mathbb{Z}[G]$ 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.

Keywords

group rings;

Citations & Related Records

Times Cited By KSCI : 1 (Citation Analysis)

Reference
Cited By KSCI

1	D. Burns, Congruences between derivatives of abelian L-functions at s = 0, Invent. Math. 169 (2007), no. 3, 451-499. DOI
2	B. H. Gross, On the values of abelian L-functions at s = 0, J. Fac. Sci. Univ. Tokyo Sect. IA Math. 35 (1988), no. 1, 177-197.
3	J. Lee, Congruences of L-values for cyclic extensions, Honam Math. J. 32 (2010), no. 4, 791-795. DOI ScienceOn
4	B. Mazur and J. Tate, Refined conjectures of the "Birch and Swinnerton-Dyer type", Duke Math. J. 54 (1987), no. 2, 711-750. DOI
5	K. Rubin, A Stark conjecture "over Z" for abelian L-functions with multiple zeros, Ann. Inst. Fourier (Grenoble) 46 (1996), no. 1, 33-62. DOI