The isomorphism problem for a class of finitely generated metabelian groups

Abstract In a previous work, it was shown that there is a finitely generated metabelian group of finite torsion-free rank associated with each non-constant, non-unit integer polynomial. Here an algorithm is devised which is able to decide if two such groups are isomorphic.

Authors

Institutions

Publication Details

Journal
Journal of Group Theory
Published
2026-05-12
DOI
https://doi.org/10.1515/jgth-2025-0110
Primary Topic
Finite Group Theory Research
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

The isomorphism problem for a class of finitely generated metabelian groups

Derek J. S. Robinson
Journal of Group Theory
Finite Group Theory Research
article

The isomorphism problem for a class of finitely generated metabelian groups

Derek J. S. Robinson
article en

Abstract

Abstract In a previous work, it was shown that there is a finitely generated metabelian group of finite torsion-free rank associated with each non-constant, non-unit integer polynomial. Here an algorithm is devised which is able to decide if two such groups are isomorphic.

Journal of Group Theory
University of Illinois Urbana-Champaign (US)
Openalex Percentile: Top 3%
Finite Group Theory Research
DOISourceOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

The isomorphism problem for a class of finitely generated metabelian groups — Derek J. S. Robinson · Journal of Group Theory (2026) | TGRS Research Map | TGRS