Question:

Let G = (Z₁₈, +₁₈) and A ≤ G such that A = {0, 6, 12}. 1

Last updated: 7/31/2022

Let G = (Z₁₈, +₁₈) and A ≤ G such that A = {0, 6, 12}. 1

Let G = (Z₁₈, +₁₈) and A ≤ G such that A = {0, 6, 12}. 1. Find all generators of G 2. Find number of subgroups of G 3. List all subgroups of G 4. Find [G: A] 5. List all elements of Z₁₈/A