English

A fast isomorphism test for groups of genus 2

Group Theory 2020-11-23 v1

Abstract

Motivated by the need for efficient isomorphism tests for finite groups, we present a polynomial-time method for deciding isomorphism within a class of groups that is well-suited to studying local properties of general finite groups. We also report on the performance of an implementation of the algorithm in the computer algebra system {\sc magma}.

Keywords

Cite

@article{arxiv.1508.03033,
  title  = {A fast isomorphism test for groups of genus 2},
  author = {Peter A. Brooksbank and Joshua Maglione and James B. Wilson},
  journal= {arXiv preprint arXiv:1508.03033},
  year   = {2020}
}

Comments

39 pages, 5 figures

R2 v1 2026-06-22T10:32:27.199Z