avgamsvr.exe is a part of AVG antivirus. More information can be found here.

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AVG for workstations provide comprehensive antivirus protection for personal computers. The unique combination of detection methods (heueristic analysis, generic detection, scanning and integrity checking) ensures that your computer receives the maximum protection possible on multiple levels (Resident Shield, Email Scanner plug-ins, Personal Email Scanner, On-Demand and other tests, etc.). It is available as AVG Professional Single Edition for single workstation protection and AVG SoHo Edition (Small office - Home office) for home or small offices.