 |
|
|
|
|
 |
|
|
Knots and Permutations
|
|
|
|
|
|
| Organization: | Universidad Autonoma de Querétaro |
| Department: | Facultad de Informatica |
|
|
|
|
|
|
| Instituto Tecnologio y de Estudios Superiores de Monterrey. Research Report |
|
|
|
|
|
|
A relationship between the menage problem and the study of alternating knots is developed following the ideas of Tait and Gilbert. Use is made of Burnside's theorem to count the equivalent classes of knots derived from considering equivalence of permutations under conjugation. Concrete implementations are offered using the programming language Mathematica.
|
|
|
|
|
|
|
|
|
|
|
|
menage permutations, Burnside's theorem, knots, alternating knots, equivalence, group theory, combinatorics
|
|
For the newest resources, visit Wolfram Repositories and Archives »
