On measure-preserving $\mathbb{F}_{p}^{\omega}$-systems of order k
Open Access
- 13 July 2025
- journal article
- research article
- Published by Springer Nature in Journal d'Analyse Mathématique
- Vol. 156 (1) , 281-298
Abstract
Building on previous work in the nilspace-theoretic approach to the study of Host–Kra factors of measure-preserving systems, we prove that every ergodic $$\mathbb{F}_{p}^{\omega}$$ -system of order k is a factor of an Abramov $$\mathbb{F}_{p}^{\omega}$$ -system of order k. This answers a question of Jamneshan, Shalom and Tao.
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