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Groups and FieldsEasyNormal Subgroups and Quotient Groups

Normal Subgroups and Quotient Groups · Easy problem

What is ∣Z(Q8)∣|Z(Q_8)|, the order of the center of the quaternion group Q8={±1,±i,±j,±k}Q_8 = \{\pm1, \pm i, \pm j, \pm k\} (with i2=j2=k2=−1i^2=j^2=k^2=-1, ij=kij=k, ji=−kji=-k, and so on)?