New Normal Subgroups for the Group Representation of the Cayley Tree

Abstract

In this paper, we give a characterization of the normal subgroups of index 2 s (2n+1), s ∈ {1, 2}, n ∈ N and of the subgroups of index three of the group representation of the Cayley tree.

Invariance property on group representations of the Cayley tree and its applications

“…In spite of giving a full description of subgroups of the group G k is too hard, there are some papers which devoted to the description of normal subgroups of G k . (see [4], [8]) The next proposition gives us a full description of all (not normal) subgroups of index three. Proposition 1.…”