On partial groups of small order

Published 25 May 2026 in math.GR, math.AT, and math.CO | (2605.26199v1)

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.

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Philip Hackney

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