  Just as point objects are parallel transported along curves, giving
holonomies, string-like objects are parallel transported along surfaces, giving
surface holonomies. Composition of these surfaces correspond to products in a
category theoretic generalization of the gauge group, called a 2-group. I
consider two different ways of constructing surface holonomies, one by using a
pair of one and two form connections, and another by using a pair of one-form
connections. Both procedures result in the structure of a 2-group.
