Sorry to hear about your crash issue, please update to the latest opt-In version of the game 1.02. If this does not help your issue, please send your save file, dump, debug,err files to support so that I can get a better idea of what is going on.
Link to General Galactic Civilizations III Troubleshooting Guide:
https://esupport.stardock.com/index.php?/default_import/Knowledgebase/Article/View/496/161/general-galactic-civilizations-iii-troubleshooting
Link to support tool:
http://sd.stardock.com/Support/supportToolTest/SDSupportTool.exe