Let G be the group {±1, ±i, ±j, ±k} with multiplication
Chapter 26, Problem 6E(choose chapter or problem)
Let G be the group \(\{\pm 1, \pm i, \pm j, \pm k\}\) with multiplication defined as in Exercise 54 in Chapter 9. Show that G is isomorphic to \(\langle a, b|\left.a^{2}=b^{2}=(a b)^{2}\right\rangle\). (Hence, the name “quaternions.”)
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