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Groupprops β

Conjecture that most finite groups are nilpotent

This article is about a conjecture. View all conjectures and open problems

Statement

For any natural number n, define g(n) as the number of Finite group (?)s whose order is at most n, and let g_{nil}(n) be the number of Finite nilpotent group (?)s whose order is at most n. The conjecture is that:

\lim_{n \to \infty} \frac{g_{nil}(n)}{g(n)} = 1

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