Division in group rings of surface groups

2021/01/03 by Grigori Avramidi, Avramidi, Grigori
Computer Science · Mathematics · #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric Topology (math.GT) #Group Theory (math.GR) #Homotopy and Cohomology in Algebraic Topology #Rings and Algebras (math.RA) #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.2101.00682

openalex publication_date 2021/01/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove a division algorithm for group rings of high genus surface groups and use it to show that some 2-complexes with surface fundamental groups are standard. We also give an application of division to cohomological dimension of 2-relator groups acting on \mathbb Hⁿ.

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