45 Presentations and Tietze Transformations

A finite presentation describes a group, but usually there is a multitude of presentations that describe isomorphic groups. Therefore a presentation in GAP is different from a finitely presented group though there are ways to translate between both.

An important feature of presentations is that they can be modified (see sections Changing Presentations to Tietze Transformations that introduce new Generators).

Sections

  1. Creating Presentations
  2. SimplifiedFpGroup
  3. Subgroup Presentations
  4. Relators in a Presentation
  5. Printing Presentations
  6. Changing Presentations
  7. Tietze Transformations
  8. Elementary Tietze Transformations
  9. Tietze Transformations that introduce new Generators
  10. Tracing generator images through Tietze transformations
  11. DecodeTree
  12. Tietze Options

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GAP 4 manual
February 2000