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p-ADIC ORDER BOUNDED GROUP VALUATIONS ON ABELIAN GROUPS

Published online by Cambridge University Press:  09 August 2007

ALAN KOCH  and
AUDREY MALAGON
ALAN KOCH
Affiliation:
Agnes Scott College, 141 E. College Avenue, Decatur, GA 30030 e-mail: akoch@agnesscott.edu
AUDREY MALAGON
Affiliation:
Emory University, Atlanta, GA 30322 e-mail: amalago@emory.edu
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Abstract

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For a fixed integer e and prime p we construct the p-adic order bounded group valuations for a given abelian group G. These valuations give Hopf orders inside the group ring KG where K is an extension of $\mathbb{Q} _{p}$ with ramification index e. The orders are given explicitly when G is a p-group of order p or p 2. An example is given when G is not abelian.

Keywords

Primary 16W30Secondary 20K0120K2720E15

Information

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 49 , Issue 2 , May 2007 , pp. 269 - 279
Copyright
Copyright © Glasgow Mathematical Journal Trust 2007

References

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