Symmetric group

Discuss the wikitag on this page. Here is the place to ask questions and propose changes.
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It would be awesome to have the details written out of the case of the symmetric group on the empty set.

Request for comment: is the definition of "cycle" something that should be on its own page? They're not about the symmetric group per se, but I've only heard of cycles being used in the context of symmetric groups.

For core/definition pages I think we want to have super modular content (easier browsing, lets people pick just the parts they want to learn, reduces page scope creep), so putting it on its own page is good. It's a child of this page, which seems like the appropriate relationship.

I took the plunge and put it on its own page.