THE STACK OF GERBES IN A QUOTIENT STACK

For a DM stack X , Chen, Marcus and ´ Ulfarsson ([3]) constructed a stack G X of gerbes in X that plays a key role in their setting up the theory of very twisted stable maps to X . This stack is realized as a rigidification of the stack S X of subgroups of the inertia stack of X . In this article, we show that when X is a quotient stack, the stacks S X and G X are also quotient stacks.