# Subgroup/Related Articles

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

## Parent topics

- Group theory [r]: Branch of mathematics concerned with groups and the description of their properties.
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## Subtopics

- Characteristic subgroup [r]: A subgroup which is mapped to itself by any automorphism of the whole group.
^{[e]} - Essential subgroup [r]: A subgroup of a group which has non-trivial intersection with every other non-trivial subgroup.
^{[e]} - Normal subgroup [r]: Subgroup N of a group G where every expression g-1ng is in N for every g in G and every n in N.
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- Centre of a group [r]: The subgroup of a group consisting of all elements which commute with every element of the group.
^{[e]} - Commutator subgroup [r]: The subgroup of a group generated by all commutators.
^{[e]} - Frattini subgroup [r]: The intersection of all maximal subgroups of a group.
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