Difference between revisions of "Commutator subgroup"
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Revision as of 11:00, 12 May 2015
Definition
Let [ilmath]C[/ilmath] be the group generated by the set of all commutators of a group [ilmath](G,\times)[/ilmath]. Then [ilmath]C[/ilmath] is a sugroup of [ilmath]G[/ilmath], furthermore it is a normal subgroup. That is to say:
- [math]C=\langle\{[g,h]\in G\ |\ g,h\in G\}\rangle[/math]
TODO: Finish page
