Consider the groups Dn, the set of symmetries of a regular n-gon.
a. What are the possible orders of elements in D3? D4? D5? D6?
b. Give specific elements a and b from a specific group G such that |a| = |b| = 2 and |ab| = 3.
d. Give specific elements a and b from a specific group G such that |a| = |b| = 2 and |ab| = 1.
e. Give specific elements a and b from a specific group G such that |a| = |b| = 2 and |ab| = 5.