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Generalized Sets of Lengths

✍ Scribed by Scott T Chapman; William W Smith

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 276 KB
Volume: 200
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1997.7273

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper, we study the sets

where n is a positive integer. We show, in constrast to indications in some earlier work, that the sets R n are not completely determined by the Davenport constant of the class group of R. We offer some specific constructions for Dedekind domains with small class groups, and show how these sets are generalizations of the sets

studied earlier by Geroldinger [9, 10].

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