Proceedings of the American Mathematical Society

Author(s): Yi Ouyang
Journal: Proc. Amer. Math. Soc. 130 (2002), 2203-2213.
MSC (2000): Primary 11R18; Secondary 11R27, 11R34, 18G40
Posted: February 27, 2002
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Abstract: We define and study the universal norm distribution in this paper, which generalizes the well studied universal ordinary distribution by Kubert (1979). We display a resolution of Anderson type for the universal norm distribution. Furthermore, we prove a general index formula between different universal norm distributions. As a special case, this general index formula recovers the hard calculation in Sinnott's Annals paper (1978).

1.: Anderson, Greg W., Another look at the index formulas of cyclotomic number theory, J. Number Theory 60(1996), 142-164. MR 97i:11108
2.: Anderson, Greg W., Index calculations by the double complex method, Working notes, 1998.
3.: Anderson, Greg W., A double complex for computing the sign-cohomology of the universal ordinary distribution. Recent Progress in Algebra (Taejonto/Seoul, 1997) 1-27, Contem. Math. 224, American Mathematical Society, Providence, 1999. MR 99k:11169
4.: Kubert, D.S., The universal ordinary distribution, Bull. Soc. Math. France 107(1979), 179-202. MR 81b:12004
5.: Kubert, D.S., The $\mathbb Z/2\mathbb Z$ cohomology of the universal ordinary distribution, Bull. Soc. Math. France 107(1979), 203-224. MR 81a:20062
6.: Ouyang, Y., Group cohomology of the universal ordinary distribution. J. reine. angew. Math. 537 (2001), 1-32.
7.: Sinnott, Warren, On the Stickelberger ideal and the circular units of a cyclotomic field. Annals of Mathematics 108(1978), 107-134. MR 58:5585
8.: Sinnott, Warren, On the Stickelberger ideal and the circular units of an abelian field. Invent. Math. 62(1980), 181-234. MR 82i:12004
9.: Washington, L.C., Introduction to cyclotomic fields, 2nd ed. Graduate Texts in Mathematics 83, Springer Verlag, New York, 1997. MR 97h:11130

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 11R18, 11R27, 11R34, 18G40

Yi Ouyang
Affiliation: Department of Mathematics, University of Toronto, Toronto, Ontario, Canada M5S 3G3
Email: youyang@math.toronto.edu

DOI: 10.1090/S0002-9939-02-06561-9
PII: S 0002-9939(02)06561-9
Received by editor(s): February 25, 2001
Posted: February 27, 2002
Communicated by: David E. Rohrlich
Copyright of article: Copyright 2002, American Mathematical Society

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ISSN 1088-6826 (e) ISSN 0002-9939 (p)

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