Math, asked by KrishnaMandal6563, 10 months ago

Prove every group of order 4 is abelian not cyclic

Answers

Answered by basavaraj5392
0

Answer:

All elements in such a group have order 1,2 or 4. If there's an element with order 4, we have a cyclic group – which is abelian. Otherwise, all elements ≠e have order 2, hence there are distinct elements a,b,c such that {e,a,b,c}=G.

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