On some subsemigroups of the group L[1][8]

Abstract

In this paper we generalize the results concerning determination of some form subsemigroups of the group L[1][8]. We show that for s ≥ 4 + 2i there are no subsemigroups Z[1][s,8](f) and T[1][s,8](g). We determine all subsemigroups of mentioned form for s ≤ 3 + 2i. Moreover we use obtained results to determine the subsemigroups Р[s,1][1](h) and P[s,1][1,8](h[1], h[8]).