Question

give an example of an infinite non-abelian group

Answer 1

This is an example of an automorphism group of a structure - namely, the structure which is just an infinite set, with no relations, operations, etc. In general, automorphism groups are neither abelian nor finite. For example, the automorphism group of the field C has size continuum, and is very non-abelian.

Answer 2

Answer:

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