Right now, you can share the details of a match you played in.
Using the 'Share' button in the match's details pane (via webapp) you can create a webpage (Hill's Fairs - 7 Wonders match example) with infos about the match, a reference for sharing (via Facebook, Twitter, Google+, email, embedding and URL), and an area for comments.
The match is not shared, and its sharing page does not actually exist, until you explicitly request to share it.
A group can have a public page - visible without needing to log in - at the address https://rankade.com/group-name (Hill's Fairs - public group example).
This page includes some info about the group, the updated ranking and the list of shared matches. You can customize the public pages of any group you are an admin of, or keep them from being published, using the appropriate buttons (webapp only).
If you share a group, your username and the group's name are also shared. You can hide your name by selecting/deselecting the appropriate option in your settings. Moreover, geolocation data and group messages are always hidden in the group and match details.