Hostname: page-component-586b7cd67f-gb8f7 Total loading time: 0 Render date: 2024-11-28T11:08:02.765Z Has data issue: false hasContentIssue false

Knots—a practical application of group theory

Published online by Cambridge University Press:  03 November 2016

E. R. Baylis*
Affiliation:
1 Mountfield Road, Bramhall, Cheshire SK7 1LZ

Extract

The definition of a group normally used in the classroom is that of a set of a finite or an infinite number of elements, for which an operation is defined, subject to the four conditions of closure, associativity, identity and inverse. The group is usually specified by giving its group table. However, this is not very practical for a finite group of large order and is never possible for an infinite group. Also, the group table often contains redundant information and so is not very efficient.

Type
Research Article
Copyright
Copyright © Mathematical Association 1973

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Crowell, R. H. and Fox, R. H., An introduction to knot theory. Ginn (1963).Google Scholar