On partial groups of small order
Group Theory
2026-05-27 v1 Algebraic Topology
Combinatorics
Abstract
There are 123,650 partial groups of order at most 9 and 178,937,003 partial groups of order 10. We explain a computer enumeration of these results and provide a complete list of indecomposable partial groups of order at most 5. We also indicate results that were discovered through computational experiments.
Cite
@article{arxiv.2605.26199,
title = {On partial groups of small order},
author = {Philip Hackney},
journal= {arXiv preprint arXiv:2605.26199},
year = {2026}
}
Comments
23 pages, comments welcome!