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 noun Plural form of
groupoid .
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In modern mathematics, symmetries are usually encoded by groupoids; one also often upgrades groups to more structured objects such as
What's new 2009

The fact that every tranformation can be written as a translation and then a rotation or a reflection and then a rotation is a really cool result that introduces key ideas which you could easily think about in early highschool (and again suggests more advanced topics like groupoids).

Groupoids (i.e. small categories in which all morphisms are isomorphisms) {For sets with a single binary operation, see 20N02; for topological groupoids, see 22A22, 58H05}
Citizendium, the Citizens' Compendium  Recent changes [en] 2008

Groupoids (i.e. small categories in which all morphisms are isomorphisms) {For sets with a single binary operation, see 20N02; for topological groupoids, see 22A22, 58H05}
Citizendium, the Citizens' Compendium  Recent changes [en] 2008

Groupoids (i.e. small categories in which all morphisms are isomorphisms) {For sets with a single binary operation, see 20N02; for topological groupoids, see 22A22, 58H05}
Citizendium, the Citizens' Compendium  Recent changes [en] 2008
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