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arXiv · 2309.03514

Testing local-global divisibility at a stable set

Alexander B. Ivanov·Laura Paladino
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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.

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Alexander B. Ivanov, Laura Paladino. 2023-09-07. Testing local-global divisibility at a stable set. https://arxiv.org/abs/2309.03514

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