| Autor: |
Gago-Vargas, Jesús, Hartillo-Hermoso, Isabel, Ucha-Enríquez, José María |
| Zdroj: |
Computer Algebra in Scientific Computing (9783540451822); 2006, p149-154, 6p |
| Abstrakt: |
Let G be a group given by generators and relations. It is possible to compute a presentation matrix of a module over a ring through Fox΄s differential calculus. We show how to use Gröbner bases as an algorithmic tool to compare the chains of elementary ideals defined by the matrix. We apply this technique to classical examples of groups and to compute the elementary ideals of Alexander matrix of knots up to 11 crossings with the same Alexander polynomial. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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