The scrollable list is sorted in reverse date order so the most recent match is listed at the top. You can press on a player to select matches in the list that the player has participated in.
A long press over the score (middle part) of any list entry will bring up a context menu. This menu will allow you to choose to see various statistics relating to the match or players. You may also delete the match from here. You will be asked to confirm if you want to delete the match.
Details of each menu option will be described in further posts.