# Category:Definitions/Subgroups

This category contains definitions related to Subgroups.
Related results can be found in Category:Subgroups.

Let $\struct {G, \circ}$ be an algebraic structure.

$\struct {H, \circ}$ is a subgroup of $\struct {G, \circ}$ if and only if:

$(1): \quad \struct {H, \circ}$ is a group
$(2): \quad H$ is a subset of $G$.

## Subcategories

This category has the following 5 subcategories, out of 5 total.

## Pages in category "Definitions/Subgroups"

The following 23 pages are in this category, out of 23 total.