POWERS OF THE AUGMENTATION IDEAL OF A CYCLIC GROUP RING

• Journal title : Honam Mathematical Journal
• Volume 37, Issue 2,  2015, pp.265-267
• Publisher : The Honam Mathematical Society
• DOI : 10.5831/HMJ.2015.37.2.265
Title & Authors
POWERS OF THE AUGMENTATION IDEAL OF A CYCLIC GROUP RING
LEE, JOONGUL;

Abstract
Let G be a cyclic group of prime power order. There is a natural embedding of $\small{\mathbb{Z}}$[G] into a product of rings of integers of cyclotomic fields. In this paper we determine the image of powers of the augmentation ideal.
Keywords
Group rings;
Language
English
Cited by
References
1.
S. Lang, Algebraic Number Theory, Second edition, Springer-Verlag, New York, 1994.

2.
J. Lee, Characterization of a cyclic group ring in terms of character values, Commun. Korean Math. Soc. 30(1) (2015), 1-5.