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arXiv · 2506.13532

A Generalized Davenport Constant of the Second Kind

Jared Kettinger
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Abstract

In this paper, we explore a ring invariant which is closely related to the Davenport constant of a group. In particular, we will calculate this invariant for a certain class of rings of integers and their orders and use it to understand factorization properties of the latter. To this end, we also examine the well-behaved class of Galois-invariant orders.

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Jared Kettinger. 2025-06-16. A Generalized Davenport Constant of the Second Kind. https://arxiv.org/abs/2506.13532

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