ABSTRACT
Suppose that G is a group (written multiplicatively), and g ∈ G. If we repeatedly multiply g by itself, we get the powers of g:
g1 = g, g2 = gg, g3 = g(g2), g4 = g(g3), · · · . Given an element gn of this form, we call n an exponent; for now, we are restricting ourselves to exponents that are positive integers.
