How can I forward tickets from a specific channel to an agent/ group?

Hi,

Long story short – we need to forward tickets received at a specific channel (a specific e-mail address to be precise) to a group of agents. 

I have tried to google it and also tried it myself in Zendesk using automations. I am unable to make it work. 

In addition to that, I would like for this specific group to only be able to have access to these tickets. Is there a way to do this?