We study the simplicity of map-germs obtained by the operation of augmentation and describe how to obtain their versal unfoldings. When the augmentation comes from an $\mathscr{ A}_e$-codimension 1 germ or the augmenting function is a Morse function, we give a complete characterisation for simplicity. These characterisations yield all the simple augmentations in all explicitly obtained classifications of $\mathscr{ A}$-simple monogerms except for one ($F_4$ in Mond's list from $\mathbb{ C}^2$ to $\mathbb{ C}^3$). Moreover, using our results we produce a list of simple augmentations from $\mathbb{ C}^4$ to $\mathbb{ C}^4$.
Categories: math.AG math.CV