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 (r-tag) |
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Revision as of 13:40, 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
{r|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]
- 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]