where N is a cyclic group whose order is a factor of d and G' is a subgroup of PGL(2, C), i.e., a cyclic group [Z.sub.m], a dihedral group D2m, the tetrahedral group [A.sub.4], the octahedral group
S4 or the icosahedral group [A.sub.5].
In cubic spinel structure is involved [Zn.sup.2+.sub.1- x][Fe.sub.1+x.sup.3+] A [[Ni.sub.x.sup.2+][Fe.sub.1-x.sup.3+]B ferrites, which Zn ions are occupied tetrahedral (A) sites, Ni ions are occupied octahedral (B) sites and [Fe.sup.3+]ions are distributed between tetrahedral and octahedral sites, and the other low frequency modes are performed the characteristics of the octahedral group
(B-site) of ferrites .
His topics include the octahedral group
and the octahedral double group, Lie groups and Lie algebras, Coxeter's reflection groups, ALE spaces and gravitational instantons, knots and links and braids, elliptic curves and the monster group, sphere packing and error-correcting codes, the holographic principle, Calabi-Yau spaces and mirror symmetry, and Heisenberg algebras.
However, there will be some missed operations on the symmetry for the binary octahedral group