Siberian Federal University

Previously, the author solved the problem of generation by three involutions, two of which commute, of the matrix group GL±1 n (Z + iZ) of dimension n with determinant ±1 over the ring of Gaussian integers Z + iZ and its quotient group by the center P GL±1 n (Z + iZ), with the exception of the group GL±1 6 (Z + iZ). In this note, it is proved that the group GL±1 6 (Z + iZ) is generated by three involutions, two of which commute