A request came in for a list of distribution groups managed by one of our users.  Below is the command I used to provide the information.

Get-DistributionGroup | where {$_.ManagedBy -like "*wilkins*"}

The command can be run as is from the Exchange Management shell.  But if you prefer to use PowerShell or the PowerShell ISE, be sure to add the Exchange 2010 snapin with the following command.

Add-PSSnapin Microsoft.Exchange.Management.PowerShell.E2010

There were only a few groups, so I copied and pasted the results, but this could easily be output to a .csv file.