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`CoxeterDiagramComponents(D) `
Inputs a Coxeter diagram D and returns a list [D_1, ..., D_d] of the maximal connected subgraphs D_i. |

`CoxeterDiagramDegree(D,v) `
Inputs a Coxeter diagram D and vertex v. It returns the degree of v (i.e. the number of edges incident with v). |

`CoxeterDiagramDisplay(D) ` `CoxeterDiagramDisplay(D,"web browser") `
Inputs a Coxeter diagram D and displays it as a .gif file. It uses the Mozilla web browser as a default to view the diagram. An alternative browser can be set using a second argument. This function requires Graphviz software. |

`CoxeterDiagramFpArtinGroup(D) `
Inputs a Coxeter diagram D and returns the corresponding finitely presented Artin group. |

`CoxeterDiagramFpCoxeterGroup(D) `
Inputs a Coxeter diagram D and returns the corresponding finitely presented Coxeter group. |

`CoxeterDiagramIsSpherical(D) `
Inputs a Coxeter diagram D and returns "true" if the associated Coxeter groups is finite, and returns "false" otherwise. |

`CoxeterDiagramMatrix(D) `
Inputs a Coxeter diagram D and returns a matrix representation of it. The matrix is given as a function DiagramMatrix(D)(i,j) where i,j can range over the vertices. |

`CoxeterSubDiagram(D,V) `
Inputs a Coxeter diagram D and a subset V of its vertices. It returns the full sub-diagram of D with vertex set V. |

`CoxeterDiagramVertices(D) `
Inputs a Coxeter diagram D and returns its set of vertices. |

`EvenSubgroup(G) `
Inputs a group G and returns a subgroup G^+. The subgroup is that generated by all products xy where x and y range over the generating set for G stored by GAP. The subgroup is probably only meaningful when G is an Artin or Coxeter group. |

` GraphOfGroupsDisplay(D) ` `GraphOfGroupsDisplay(D,"web browser") `
Inputs a graph of groups D and displays it as a .gif file. It uses the Mozilla web browser as a default to view the diagram. An alternative browser can be set using a second argument. This function requires Graphviz software. |

` GraphOfResolutions(D,n) `
Inputs a graph of groups D and a positive integer n. It returns a graph of resolutions, each resolution being of length n. It uses the function ResolutionGenericGroup() to produce the resolutions. |

` GraphOfGroups(D) `
Inputs a graph of resolutions D and returns the corresponding graph of groups. |

` GraphOfResolutionsDisplay(D) `
Inputs a graph of resolutions D and displays it as a .gif file. It uses the Mozilla web browser as a default to view the diagram. This function requires Graphviz software. |

`GraphOfGroupsTest(D) `
Inputs an object D and itries to test whether it is a Graph of Groups. However, it DOES NOT test the injectivity of any homomorphisms. It returns true if D passes the test, and false otherwise. Note that there is no function IsHapGraphOfGroups() because no special data type has been created for these graphs. |

`TreeOfGroupsToContractibleGcomplex(D,G) `
Inputs a graph of groups D which is a tree, and also inputs the fundamental group G of the tree in a form which contains each of the groups in the graph as subgroups. It returns a corresponding contractible G-complex. |

`TreeOfResolutionsToContractibleGcomplex(D,G) `
Inputs a graph of resolutions D which is a tree, and also inputs the fundamental group G of the tree in a form which contains each of the groups in the graph as subgroups. It returns a corresponding contractible G-complex. The resolutions are stored as a component of the contractible G-complex. |

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