MathCastle
Groups and FieldsEasyConjugacy and the Class Equation

Conjugacy and the Class Equation · Easy problem

In 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 and ij=k=−jiij=k=-ji), what is ∣CQ8(i)∣|C_{Q_8}(i)|, the order of the centralizer of ii?