I found this to be a good place to start for all things Solarwinds.
Tip: When dealing with Alerts, copy then edit (and change any alerting email addresses to just yours before saving)
matt.spencer - You can also go to Settings -> Manage Alerts and then explore the enabled alert rules. You may want to select an alert rule and click on Duplicate and Edit, so that the original one won't get disturbed. In the alert properties, go to Actions tab and check what are all the emails are configured and you can remove unwanted email-ids.
If you want to directly go to actions, click on Action Manager tab, all actions would be shown for the enabled alert rules
Just explore, you can get an idea .