On the Symmetry Classes of Tensors Associated with Certain Frobenius Groups

Abstract

Abstract:In this paper, we study the symmetry classes of tensors associated with some Frobenius groups of order pq, where q|p-1as a subgroups of the full symmetric group on p letters. We calculate the dimension of the symmetry classes of tensor associated with some Frobenius groups and some irreducible complex characters and we obtain two useful corollary with an example.

Symmetry Classes of Tensors Associated to Nonabelian Groups of Order

“…Aspects of the symmetry classes of tensors associated to these groups have been considered. In particular, Poursalavati computed some dimensions of the symmetry classes of tensors associated with certain Frobenius groups in [13]. However, he did not investigate the condition for the existence of an o-basis.…”