\chapcontents {1}{Preface}{5}
\chapcontents {2}{Introduction to polycyclic presentations}{6}
\chapcontents {3}{Collectors}{7}
\seccontents {3.1}{Constructing a Collector} {7}
\seccontents {3.2}{Accessing Parts of a Collector} {10}
\seccontents {3.3}{Special Features} {10}
\chapcontents {4}{Pcp-groups - polycyclically presented groups}{12}
\seccontents {4.1}{Pcp-elements -- elements of a pc-presented group} {12}
\seccontents {4.2}{Methods for pcp-elements} {12}
\seccontents {4.3}{Pcp-groups - groups of pcp-elements} {14}
\chapcontents {5}{Basic methods and functions for pcp-groups}{15}
\seccontents {5.1}{Elementary methods for pcp-groups} {15}
\seccontents {5.2}{Elementary properties of pcp-groups} {16}
\seccontents {5.3}{Subgroups of pcp-groups} {16}
\seccontents {5.4}{Polycyclic presentation sequences for subfactors} {17}
\seccontents {5.5}{Factor groups of pcp-groups} {19}
\seccontents {5.6}{Homomorphisms for pcp-groups} {19}
\seccontents {5.7}{Changing the defining pc-presentation} {20}
\seccontents {5.8}{Printing a pc-presentation} {21}
\seccontents {5.9}{Converting to and from a presentation} {21}
\chapcontents {6}{Libraries and examples of pcp-groups}{22}
\seccontents {6.1}{Libraries of various types of polycyclic groups} {22}
\seccontents {6.2}{Some asorted example groups} {23}
\chapcontents {7}{Higher level methods for pcp-groups}{24}
\seccontents {7.1}{Subgroup series in pcp-groups} {24}
\seccontents {7.2}{Orbit stabilizer methods for pcp-groups} {26}
\seccontents {7.3}{Centralizers, Normalizers and Intersections} {27}
\seccontents {7.4}{Finite subgroups} {28}
\seccontents {7.5}{Subgroups of finite index and maximal subgroups} {29}
\seccontents {7.6}{Further attributes for pcp-groups based on the Fitting subgroup} {30}
\seccontents {7.7}{Functions for nilpotent groups} {30}
\seccontents {7.8}{Random methods for pcp-groups} {31}
\seccontents {7.9}{Non-abelian tensor product and Schur extensions} {32}
\seccontents {7.10}{Schur covers and Schur towers} {35}
\chapcontents {8}{Cohomology for pcp-groups}{36}
\seccontents {8.1}{Cohomology records} {36}
\seccontents {8.2}{Cohomology groups} {37}
\seccontents {8.3}{Extended 1-cohomology} {38}
\seccontents {8.4}{Extensions and Complements} {39}
\seccontents {8.5}{Constructing pcp groups as extensions} {40}
\chapcontents {9}{Matrix Representations}{41}
\seccontents {9.1}{Unitriangular matrix groups} {41}
\seccontents {9.2}{Upper unitriangular matrix groups} {41}
\chapcontents {}{Bibliography}{43}
\chapcontents {}{Index}{44}