# Category:Subgroup Action

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This category contains results about Subgroup Action.

Let $\struct {G, \circ}$ be a group.

Let $\struct {H, \circ}$ be a subgroup of $G$.

Let $*: H \times G \to G$ be the operation defined as:

- $\forall h \in H, g \in G: h * g := h \circ g$

This is the **subgroup action** of $H$ on $G$.

## Pages in category "Subgroup Action"

The following 3 pages are in this category, out of 3 total.