Edgeoftheabyssawaken Over The Network -

It could be a Service Set Identifier (SSID) or a peer-to-peer (P2P) broadcast name.

To get a more precise answer, it would be helpful to know where you encountered this phrase: EdgeOfTheAbyssAwaken over the network

It likely refers to a "Reawakening" patch or a multiplayer overhaul mod. It could be a Service Set Identifier (SSID)