Preventing Group Emails From Being Sent to Group Member Personal Mail

Preventing Group Emails From Being Sent to Group Member Personal Mail

We have a group setup for a public facing email address. We have streams turned on for this group. Right now when an email is sent to this group email it hits the group stream and also sends a copy of the email to all group members. We'd like to disable the forwarding of the email to individual mailboxes so that the email can be "picked" by one person from the stream instead. 

Is there any way to disable group members from receiving a copy of group emails in their personal inboxes?