Using the categorical description of supergeometry we give an explicit construction of the diffeomorphism supergroup of a compact finitedimensional supermanifold. The construction provides the diffeomorphism supergroup with the structure of a Fréchet supermanifold. In addition, we derive results about the structure of diffeomorphism supergroups.
"The diffeomorphism supergroup of a finite-dimensional supermanifold." Adv. Theor. Math. Phys. 15 (2) 285 - 323, April 2011.