Zulip Chat Archive

Stream: Equational

Topic: Asymptotics for number of isomorphism types


Stanley Burris (Apr 30 2025 at 23:40):

Since idemprimal algebras are rigid, and almost all magmas are idemprimal, the number of isomorphism types of magmas on n elements is asymptotic to n^{n^2}/n!
Perhaps this adds some precision to the comment in section 1 of the blueprint about the number of isomorphism types growing more slowly than the number of magmas.


Last updated: May 02 2025 at 03:31 UTC