Subgroup/Related Articles

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

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Parent topics

Group theory

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]