TITLE: Working out a Group Presentation
QUESTION [18 upvotes]: If you have a  group, (say you have group table or any other information), is there an algorithm to find the group presentation? What is the general way of finding presentation of a group?

REPLY [7 votes]: No, in general there's not an algorithm.  In this paper, Bridson and I prove that there are finite sets of integer matrices that generate finitely presented groups, but for which there's no algorithm to compute a presentation.