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math.GR2026
On partial groups of small order
Philip Hackney
We explain a computer enumeration of all partial groups (in the sense of Chermak) of order at most 10. An accompanying dataset contains a full list, consisting of 123,650 partial g…
math.GR2026
Binary partial groups
Philip Hackney, Justin Lynd, Edoardo Salati
There are many examples of `binary' partial groups in the literature: sets equipped an identity and a partially-defined binary operation, such that each element admits an inverse.…