Subgroup

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A subset H of a group (G, $\cdot$ ) is called a subgroup, if (H, $\cdot$ ) is itself a group.

Simple Examples

$(2\mathbb{Z},+)$ is a subgroup of $(\mathbb{Z},+)$
$(\mathbb{Z},+)$ is a subgroup of $(\mathbb{Q},+)$
$(\mathbb{Q}^+,\cdot)$ is a subgroup of $(\mathbb{R}^+,\cdot)$

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Category: Algebra

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