Subgroup > Related Articles

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	A list of Citizendium articles, and planned articles, about Subgroup.

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Parent topics

• Group theory [r]: Branch of mathematics concerned with groups and the description of their properties. [e]

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. [e]

Other related topics

• 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. [e]