\chapcontents {\tocstrut }{Copyright Notice}{7} \chapcontents {1}{About the New Features Manual}{8} \chapcontents {2}{Dictionaries and General Hash Tables (preliminary)}{9} \seccontents {2.1}{Dictionaries} {9} \seccontents {2.2}{General Hash Tables} {10} \seccontents {2.3}{General hash table definitions and operations} {10} \seccontents {2.4}{Hash keys} {11} \seccontents {2.5}{Dense hash tables} {11} \seccontents {2.6}{Sparse hash tables} {11} \seccontents {2.7}{Fast access to last hash index} {12} \chapcontents {3}{Quotient groups by homomorphisms (preliminary)}{13} \seccontents {3.1}{Creating hom cosets and quotient groups} {14} \seccontents {3.2}{Operations on hom cosets} {14} \chapcontents {4}{Transversals of subgroups (preliminary)}{16} \seccontents {4.1}{General operations on transversals} {16} \seccontents {4.2}{Transversals by Schreier tree} {16} \seccontents {4.3}{Transversals by homomorphic images} {17} \seccontents {4.4}{Transversals by direct products} {18} \seccontents {4.5}{Transversals by Trivial subgroups} {18} \seccontents {4.6}{Transversals by sift functions} {18} \chapcontents {5}{Chains of subgroups (preliminary)}{19} \seccontents {5.1}{Stabiliser chain subgroups} {20} \seccontents {5.2}{Hom coset chain subgroups} {21} \seccontents {5.3}{Direct product chain subgroups} {21} \seccontents {5.4}{Trivial chain subgroups and sift function chain subgroups} {21} \chapcontents {}{Bibliography}{23} \chapcontents {}{Index}{24}