Find all distinct subgroups of the quaternion group Qs, where Q8 = {+1,±i,±j, £k} Deduce that all subgroups of Qs are normal subgroups of Qs
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- Let G=1,i,j,k be the quaternion group. List all cyclic subgroups of G. (Sec. 3.1,34).4. List all the elements of the subgroupin the group under addition, and state its order.Let G be an abelian group of order 2n, where n is odd. Use Lagranges Theorem to prove that G contains exactly one element of order 2.