# Normal subgroup/Related Articles

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*See also changes related to Normal subgroup, or pages that link to Normal subgroup or to this page or whose text contains "Normal subgroup".*

## Parent topics

- Subgroup [r]: A subset of a group which is itself a group with respect to the group operations.
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## Subtopics

- Characteristic subgroup [r]: A subgroup which is mapped to itself by any automorphism of the whole group.
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- Closure operator [r]: An idempotent unary operator on subsets of a given set, mapping a set to a larger set with a particular property.
^{[e]} - Commutator [r]: A measure of how close two elements of a group are to commuting.
^{[e]} - Transposition (mathematics) [r]: A permutation which interchanges two letters and leaves the others fixed; a 2-cycle.
^{[e]} - Cyclic permutation [r]:
*Add brief definition or description* - Series (group theory) [r]: A chain of subgroups of a group linearly ordered by subset inclusion.
^{[e]} - Frattini subgroup [r]: The intersection of all maximal subgroups of a group.
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