Hall polynomials for the torsion free groups of Hirsch length at most 5

2016/05/05 by Bettina Eick, Eick, Bettina, Ann-Kristin Engel +1
Mathematics · #Algebraic Geometry and Number Theory #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Group Theory (math.GR)

paper · pdf · doi:10.48550/arxiv.1605.01591

openalex publication_date 2016/05/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A theorem by Hall asserts that the multiplication in torsion free nilpotent groups of finite Hirsch length can be facilitated by polynomials. In this note we exhibit explicit Hall polynomials for the torsion free nilpotent groups of Hirsch length at most 5.

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