3 papers
math.AC2026
Elasticity of Orders from the -relative Davenport Constant: an Arithmetic Application of a Number-Theoretic Investigation
Jared Kettinger, Grant Moles
Orders in algebraic number fields have long been objects of central interest in algebraic number theory. Despite non-maximal orders failing to be Dedekind, the present authors have…
math.GR2025
Automorphically Equivalent Elements of Finite Abelian Groups
Arjun Agarwal, Rachel Chen, Rohan Garg +1
Given a finite abelian group and elements , we prove that there exists such that if and only if $G/\langle x \rangle \cong G/\langle…
math.AC2025
A Generalized Davenport Constant of the Second Kind
Jared Kettinger
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 rin…