additive combinatorics 1finite fields 1generalized arithmetic progressions 1multiplicative subgroups 1sumsets 1
From the 1 of 2 linked papers with an AI index.
2 papers
math.NT2026
Sumsets and generalized arithmetic progressions in multiplicative subgroups
Albert Cochrane
The paper determines exactly which multiplicative subgroups of finite fields are generalized arithmetic progressions and shows that, apart from the trivial cases of size 1, 2, or 4…
math.NT2026
Multiplicative Subgroups of that are Generalized Arithmetic Progressions
Albert Cochrane
We prove that a multiplicative subgroup of is a generalized arithmetic progression if and only if or . Much of the argument is built up…