e/Pauli group

Information
has gloss	eng: In physics and mathematics, the Pauli group G_1 on 1 qubit is the matrix group consisting of the identity matrix I and all of the Pauli matrices X=\sigma_1, Y=\sigma_2, Z=\sigma_3, together with multiplicative factors \pm1,\pm i: :G_1 \ \stackrel\mathrmdef}}=}\ \\pm I,\pm iI,\pm X,\pm iX,\pm Y,\pm iY,\pm Z,\pm iZ\} \equiv \langle X, Y, Z \rangle. The Pauli group is generated by the Pauli matrices, and is isomorphic to the eight-element quaternion group.
lexicalization	eng: Pauli group
instance of	e/Finite group