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Questions about the branch of algebra that deals with groups.

3 votes

Must an isomorphism preserving graph transformation preserve the order of the automorphism g...

If you send a graph to two disjoint copies of the same graph, you get a transformation sending isomorphic graphs to isomorphic graphs (in fact, you get an endofunctor on the category of graphs), but t …
Martti Karvonen's user avatar
10 votes
Accepted

Why does the 2-category of groups have (some, strict) coinserters but not (strict) inserters?

One viewpoint goes as follows: the 2-categorical structure on groups can be seen as coming from inner automorphisms, so that a 2-cell is given by an inner automorphism that translates one map to the o …
Martti Karvonen's user avatar