I know that every cyclic group is abelian, but I'm struggling to find a group that is generated by two elements but is not abelian. I'd appreciate any help! Thanks.
2026-03-25 21:45:04.1774475104
Group generated by two elements that is not abelian?
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Take any non-abelian group. Take any two non-commuting elements in that group. The subgroup generated by those two elements is non-abelian and generated by two elements.