divisible group

Definition

Let \((G, \cdot)\) be a group.
Then \(G\) is said to be divisible, if for every positive integer \(n \in \mathbb{N}^+\) and group element \(x \in G\) there exists a \(y \in G\) such that

\begin{align*} x =& y^n \end{align*}

Date: nil

Author: Anton Zakrewski

Created: 2026-02-02 Mo 16:32