No abstract

Subgroups which are the union of two and three conjugacy classes were studied previously in Sharyari and Shahabi (Bull. of In this article we will determine the structure of subgroups which are the union of four conjugacy classes.

No abstract

A necessary and sufficient condition for the existence of the orthogonal basis of decomposable symmetrized tensors for the symmetry classes of tensors associated with dicyclic group and dihedral group were studied by M. R. Darafsheh and M. R. Ž . Pournaki in press, Linear and Multilinear Algebra and R. R. Holmes and T. Y. Ž . Tam 1992, Linear and Multilinear Algebra 32, 21᎐31 . These authors used a certain permutation structure of these groups to prove the necessary condition. In this article we show that the necessary condition found in these previous works is independent of the permutation structures of these groups. ᮊ

No abstract