\chapcontents {1}{Introduction}{3} \chapcontents {2}{The automorphism group method}{4} \chapcontents {3}{The underlying function}{6} \chapcontents {4}{Influencing the algorithm}{8} \seccontents {4.1}{Outline of the algorithm} {8} \seccontents {4.2}{The initialisation step} {9} \seccontents {4.3}{Stabilisers in matrix groups} {9} \seccontents {4.4}{Searching for a small generating set} {10} \seccontents {4.5}{An interactive version of the algorithm} {10} \seccontents {4.6}{Acknowledgements} {11} \chapcontents {}{Index}{12}