✦ LIBER ✦

Constructing Faithful Representations of Finitely-generated Torsion-free Nilpotent Groups

✍ Scribed by Willem A. de Graaf; Werner Nickel

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 257 KB
Volume: 33
Category: Article
ISSN: 0747-7171
DOI: 10.1006/jsco.2001.0497

No coin nor oath required. For personal study only.

✦ Synopsis

We formulate an algorithm for calculating a representation by unipotent matrices over the integers of a finitely-generated torsion-free nilpotent group given by a polycyclic presentation. The algorithm works along a polycyclic series of the group, each step extending a representation of an element of that series to the next element.