The Existence of Subgroups and New Normal Subgroups for The Group Representation of The Cayley Tree

摘要

In this paper we'll prove the existence of subgroups for the group representation of the Cayley tree and give all normal subgroups of finite index (i.e., 2~'(2n + l), se{1,2}, n ∈ N ) for the group representation of the Cayley tree.