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Estimation of recurrence for nilpotent group action

2018/09/11 by Aninda Chakraborty, Chakraborty, Aninda, Dibyendu De +3 · 1 citation
Mathematics · #Dynamical Systems (math.DS) #FOS: Mathematics #Finite Group Theory Research #General Topology (math.GN) #Geometric and Algebraic Topology #Limits and Structures in Graph Theory #math.DS #math.GN

paper · pdf · doi:10.48550/arxiv.1810.05097

arxiv created 2018/09/11 · openalex publication_date 2018/09/11 · arxiv updated 2019/12/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We estimate size of recurrence of an action of a nilpotent group by homeomorphisms of a compact space for polynomial mappings into a nilpotent group form the partial semigroup (Pf(ℕ),\uplus). To do this we have used algebraic structure of the Stone-Čech copactification partial semigroup and that of the given nilpotent group.

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