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) The group H = {1,-1,1,-i, j,-j, k,-k} where -i j i i 1 -1 in particular ij = k jk=i ki=j (a) Determine three cyclie subgroups of HI of order 4. (b) Are there any non-cyclic subgroups of order 4? Explain. (c) Explain why D H.
) The group H = {1,-1,1,-i, j,-j, k,-k} where -i j i i 1 -1 in particular ij = k jk=i ki=j (a) Determine three cyclie subgroups of HI of order 4. (b) Are there any non-cyclic subgroups of order 4? Explain. (c) Explain why D H.
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