Question: Pick any integer and consider this set of actions: adding any integer to the one you choose. This is an infinite set of actions: we

 Pick any integer and consider this set of actions: adding any

Pick any integer and consider this set of actions: adding any integer to the one you choose. This is an infinite set of actions: we might name them like "add 1" and "add -4210, " etc. This is a group. Find all minimal generating sets. Sketch a Cayley graph for this group using one of these minimal generating sets

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