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. © Springer-Verlag Berlin Heidelberg 2006.
CITATION STYLE
Gago-Vargas, J., Hartillo-Hermoso, I., & Ucha-Enríquez, J. M. (2006). Algorithmic invariants for Alexander modules. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 4194 LNCS, pp. 149–154). Springer Verlag. https://doi.org/10.1007/11870814_12
Mendeley helps you to discover research relevant for your work.