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Dec 10, 2014 at 13:01 comment added mathuser77 @ Yemen Choi: exactly!
Dec 10, 2014 at 12:25 comment added Yemon Choi I would prefer to say that you are hiding some kind of group structure in the action of $k^3$ on $k$.
Dec 10, 2014 at 10:30 comment added mathuser77 yes, I guess one can somehow "hide" the group structure in the algebra.
Dec 10, 2014 at 9:49 comment added Yemon Choi This example seems prety elementary if you take G to be the three element group, in which case kG is isomorphic to three copies of k (at least for char k not 3)
Dec 10, 2014 at 9:30 history answered mathuser77 CC BY-SA 3.0