Inverse of Subset/Group/Examples

Examples of Inverses of Subsets of Groups

Subset of $\R$ under Multiplication

Let $\struct {\R, \times}$ be the multiplicative group of (non-zero) real numbers.

Let $S = \set {-1, 2}$.

Then the inverse $S^{-1}$ of $S$ is:

$S^{-1} = \set {-1, \dfrac 1 2}$