Combinatorics

Contents

• Partitions
• Permutations
  • Generators
• Permutation Groups
• Polyhedron
• Prufer Sequences
• Subsets
• Gray Code
• Named Groups
• Utilities
• Group constructors
• Test Utilities
• Tensor Canonicalization
• Finitely Presented Groups
  • Introduction
  • The Construction of Finitely Presented Groups
  • Free Groups and Words
  • Coset Enumeration: The Todd-Coxeter Algorithm
  • Subgroups of Finite Index
  • Constructing a presentation for a subgroup
  • Bibliography
• Polycyclic Groups
  • Introduction
  • The Construction of Polycyclic Groups
  • The Construction of Collector
  • Computation of Polycyclic Presentation
  • Computation of Exponent Vector
  • Bibliography

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