General Small Cancellation Theory
General Small Cancellation Theory (172 pages)
recently appeared in the International Journal of Algebra and
Computation. Because of its length, I have also made it available
part by part.
If you previously downloaded the article without the figures, they are now available as a
Burnside Groups and Small Cancellation
Theory (24 pages) appeared in a volume of the LMS Lecture Notes
Series. This is a survey article which provides an overview of the
"General Small Cancellation Theory" article listed above.
- Introduction (7 pages) This file
contains a statement of the main theorem, an overview of the key new
concepts, and a table of contents
- Part I Cones (29 pages) This part
introduces the notion of a cone complex and the partially ordered sets
which are used to describe them.
- Part II Relators (28 pages) - This
part introduces the general notion of a relator which is used
- Part III Constructions (30 pages) -
This part extends the standard construction and the Cayley complex to
these general relators and general presentations.
- Part IV Small Cancellation Theory (26
pages) This part is the heart of the paper. It defines general small
cancellation theory in axiomatic form and shows that the standard
results of small cancelllation theory still hold in this expanded
- Part V Consequences (48 pages) - This
part proves the more detailed consequences of the axioms, including
the asphericity result and the limitations on the structure of the
Last modified 27/Aug/2000 by