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reformatted the entry group a little, expanded the Examples-section a little and then pasted in the group-related “counterexamples” from counterexamples in algebra. Mainly to indicate how I think this latter entry should eventually be used to improve the entries that it refers to.
I removed the counterexample which was not about group theory (and clarified the header in counterexamples in algebra).
Added:
The original article that gives a definition equivalent to the modern definition of a group is
added pointer to:
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