Homework Statement
Consider the set Hom of homomorphisms from \mathbb{Z}^n (the n-dimensional integer lattice) to a group G .
Also let S = \left\{ \, ( g_1, g_2, \dots, g_n ) \, | \, g_i g_k = g_k g_i, \text{where} \, 0 < i,k \leq n, g_i \in G \right\}, the set of n-tuples from G...