On partial groups of small order

Fuente: arXiv
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Autore principale: Hackney, Philip
Natura: Preprint
Pubblicazione: 2026
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author Hackney, Philip
author_facet Hackney, Philip
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2605_26199
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle On partial groups of small order
Hackney, Philip
Group Theory
Algebraic Topology
Combinatorics
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.
title On partial groups of small order
topic Group Theory
Algebraic Topology
Combinatorics
url https://arxiv.org/abs/2605.26199