English

On the decidability of the integrability of finite groups

Group Theory 2026-02-24 v1

Abstract

An integral of a group GG is a group HH whose commutator subgroup is isomorphic to GG. In this paper, we prove that the integrability of a finite group is a decidable problem.

Keywords

Cite

@article{arxiv.2602.18829,
  title  = {On the decidability of the integrability of finite groups},
  author = {Sathasivam Kalithasan and Viji Z. Thomas},
  journal= {arXiv preprint arXiv:2602.18829},
  year   = {2026}
}