Subgroup/Related Articles: Difference between revisions
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imported>Richard Pinch (parent: Group theory; subtopics: Characteristic, Essential, Normal subgroup) |
imported>Richard Pinch m (typo) |
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==Subtopics== | ==Subtopics== | ||
Latest revision as of 14:41, 14 November 2008
- 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. [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]
- 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]