Virtually abelian quotients of random groups

2019/02/06 by Gareth Wilkes, Wilkes, Gareth · 1 citation
Mathematics · #Abelian group #Advanced Operator Algebra Research #Advanced Topology and Set Theory #Betti number #Combinatorics #Discrete mathematics #Elementary abelian group #FOS: Mathematics #Geometric and Algebraic Topology #Group (periodic table) #Group Theory (math.GR) #Mathematics #Physics #Pure mathematics #Quotient #math.GR

paper · pdf · doi:10.48550/arxiv.1902.02152

published in arXiv (Cornell University) (Cornell University) · Mild revisions, with some explanations expanded

openalex publication_date 2019/02/06 · arxiv created 2019/02/18 · arxiv updated 2019/02/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/08

Abstract

It is well-known that random groups with at least as many relators as generators have vanishing first betti number with high probability. In this paper we extend this question and study maps from few-relators random groups to infinite virtually abelian groups.

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