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The Klein Four-Group K4 is the smallest non-cyclic group. K4 has order 4 and can be written in abstract form as K4 = {e,a,b,c}, where e is the identity element and c = ab. Every non-identity element has order 2. In the end, K4 is Abelian and is isomorphic to the external direct product of ℤ2 with itself: ℤ2 ⊕ ℤ2.

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