Partial groups as partial groups

Fuente: arXiv
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Hauptverfasser: Hackney, Philip, Lynd, Justin, Salati, Edoardo
Format: Preprint
Veröffentlicht: 2026
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author Hackney, Philip
Lynd, Justin
Salati, Edoardo
author_facet Hackney, Philip
Lynd, Justin
Salati, Edoardo
contents 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. We show that many of these may be regarded as partial groups in the sense of Chermak, and single out the largest class of such objects.
format Preprint
id arxiv_https___arxiv_org_abs_2603_03167
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Partial groups as partial groups
Hackney, Philip
Lynd, Justin
Salati, Edoardo
Group Theory
Category Theory
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. We show that many of these may be regarded as partial groups in the sense of Chermak, and single out the largest class of such objects.
title Partial groups as partial groups
topic Group Theory
Category Theory
url https://arxiv.org/abs/2603.03167