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Among the settings you can change for a Google Group of which you are a member is the frequency with which you receive email from that Google Group.
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Log in to the Google Group whose account settings you wish to change.
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To adjust your member settings for this Group, click the My Settings button

and choose Membership and email settings as shown below:
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Using the drop-down menu as shown below, choose the email setting you'd prefer:
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Click Save.