Category:Inverse of Group Isomorphism is Isomorphism

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This category contains pages concerning Inverse of Group Isomorphism is Isomorphism:


Let $\struct {G, \circ}$ and $\struct {H, *}$ be groups.

Let $\phi: \struct {G, \circ} \to \struct {H, *}$ be a mapping.


Then $\phi$ is an isomorphism if and only if $\phi^{-1}: \struct {H, *} \to \struct {G, \circ}$ is also an isomorphism.

Pages in category "Inverse of Group Isomorphism is Isomorphism"

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