\chapcontents {1}{Introduction}{3} \chapcontents {2}{Computing with nilpotent linear groups}{4} \seccontents {2.1}{Preliminaries} {4} \seccontents {2.2}{Testing nilpotency} {5} \seccontents {2.3}{Finiteness, Sylow subgroups, testing complete reducibility} {5} \seccontents {2.4}{A library of primitive nilpotent groups} {6} \seccontents {2.5}{Further examples of nilpotent matrix groups} {6} \chapcontents {3}{Examples}{7} \seccontents {3.1}{Constructing some nilpotent matrix groups} {7} \seccontents {3.2}{Testing nilpotency and other functions} {8} \seccontents {3.3}{Using the library of primitive nilpotent groups} {9} \chapcontents {4}{Installation}{10} \chapcontents {}{Bibliography}{11} \chapcontents {}{Index}{12}