Homological and homotopical aspects of rewriting systems

Monoids and groups that admit a presentation through a finite convergent rewriting system are known to satisfy the homological finiteness condition FP_\infty as well as the homotopical finiteness condition FDT. In this course these properties will be introduced and their relationships will be discussed. Further, we intend to investigate the correspondence between these notions and S. Prides' so-called monoid pictures.

Literatur:

Y. Kobayashi and F. Otto:
Properties of monoids that are presented by finite convergent string-rewriting systems - a survey.
Mathematische Schriften Kassel, 2/96.
St. J. Pride:
Low-dimensional homotopy theory for monoids.
International Journal of Algebra and Computation 6 (1995) 631-649.
und weitere Originalarbeiten.