# Invariant subgroup

From Encyclopedia of Mathematics

The same as a normal subgroup, that is, a subgroup $H$ of a group $G$ that is taken to itself under any inner automorphism of $G$.

**How to Cite This Entry:**

Invariant subgroup.

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Invariant_subgroup&oldid=32437