Infinite groups almost all of whose elements are prime powers

2017/02/05 by Sergei Ivanov, Ivanov, S. V.
Computer Science · Mathematics · #20F06 #20F65 #Advanced Topology and Set Theory #Computability, Logic, AI Algorithms #FOS: Mathematics #Group Theory (math.GR) #Primary 20F05 #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.1702.01378

openalex publication_date 2017/02/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For every prime p, we construct an infinite countable group that contains precisely p-1 elements which are not pth powers.

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