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Computing Left Kan Extensions Using the Todd-Coxeter Procedure

  • M. Leeming
  • R. F. C. Walters
Part of the Mathematics and Its Applications book series (MAIA, volume 325)

Abstract

The procedure described by Todd and Coxeter [8] is a mechanical technique for the enumeration of group cosets. The method has numerous applications within group theory (see the examples in Coxeter and Moser [4]). Carmody and Walters [2, 3] gave a generalised procedure relating to the construction of certain left Kan extensions. Of this procedure, the Todd-Coxeter method is a special case. This paper describes a further generalisation, extending the procedure to the construction of left Kan extensions of finite product preserving functors. The introduction of products involves a substantial increase in the complexity of the procedure. However, the benefit derived from the additional generality is substantial.

Keywords

Partial Function Generate Object Left Hand Column Hand Column Complete Presentation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media Dordrecht 1995

Authors and Affiliations

  • M. Leeming
    • 1
  • R. F. C. Walters
    • 1
  1. 1.Department of MathematicsUniversity of SydneySydneyAustralia

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