The aims of this workshop were to ascertain the current state of play, to educate and inspire the enthusiasm of younger researchers, to attempt to solve some challenge problems and to make concrete plans for future research. The high quality of the talks, the generous allocation of time for collaboration, and the focused theme all featured as highlights in participants’ evaluations. Several new research relationships involving younger researchers were developed.

Future plans included: extending the methods to groups defined over infinite fields, determining which algorithms are polynomial, extending available facilities and making them usable by nonspecialists and looking for new methods, such as computing symbolically rather than in specific groups. For several of these projects, specific work-plans were drawn up