Testing local-global divisibility at a stable set
Number Theory
2023-09-08 v1
Abstract
We show that the local-global divisibility in commutative algebraic groups defined over number fields can be tested on sets of primes of arbitrary small density, i.e. stable and persistent sets. We also give a new description of the cohomological group giving an obstruction to the problem. In addition, we show new examples of stable sets.
Cite
@article{arxiv.2309.03514,
title = {Testing local-global divisibility at a stable set},
author = {Alexander B. Ivanov and Laura Paladino},
journal= {arXiv preprint arXiv:2309.03514},
year = {2023}
}
Comments
8 pages