Computational Group Theory

This sixth workshop on Computational Group Theory proved that its main themes “finitely presented groups”, “$p$-groups”, “matrix groups” and “representations of groups” are lively and active fields of research. The talks also presented applications to number theory, invariant theory, topology and coding theory

ALGORITHMS FOR COMPUTING WITH NILPOTENT MATRIX GROUPS OVER INFINITE DOMAINS

In this paper we develop a technique for computing with matrix groups defined over infinite domains, based on changing the ground domain via congruence homomorphism. This technique has proved to be an efficient tool in linear group theory (see e.g. [15, Chapter 3]). It is particularly useful for handling finitely generated linear groups (see [28, Chapter 4]), and affords a genera