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Any thoughts before I wade on in and make changes? Any thoughts before I wade on in and make changes?

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"This was our first example of a non-abelian group, because the operation o here is not commutative as the table shows. "
If the table did show commutativity, would it be symmetrical about the diagonal from top left to bottom right?
TimJ
5 Feb 2002

Revision as of 11:23, 5 February 2002

We currently have two different group pages: Mathematical group and Mathematical Group. I suggest simply deleting Mathematical group and redirecting it to Mathematical Group.

Seconded, with one caveat: the title of the final article should be "Mathematical group" to comply with naming standards. --AxelBoldt

Done.
Zundark, 2001-08-11


The axiom of closure:

(Closure) for all a and b in G, a * b belong to G.

is superfluous, by definition of a binary operation. It's worth mentioning that closure follows from the definition, though.

The test of closure in the examples is in fact a test that the described mapping is inded a binary operation.

Any thoughts before I wade on in and make changes?


"This was our first example of a non-abelian group, because the operation o here is not commutative as the table shows. " If the table did show commutativity, would it be symmetrical about the diagonal from top left to bottom right? TimJ 5 Feb 2002