Syncing Google Calendar with computer

I am running Google Calendar 4.0 on my Samsung S5 running Android 5.0.
Items entered on my Fedora 23 laptop calendar appear on my phone, but items added on my phone do not get transferred to my computer.
There is no item "Calendars to sync" or similar in Calendar=>Settings on phone or computer.
Nor is there any icon concerning sync in Settings=>Connect and share on the phone's main menu. In fact I do not see any mention of sync-ing anywhere on my phone.
Any help gratefully received