Publications

Here you can find my scientific publications, mainly in my research field of Computational Group Theory.

PhD Thesis

Rober, F. (2025). Wreath product decompositions (PhD thesis, RWTH Aachen University).

Bernhardt, D., Niemeyer, A. C., Rober, F., & Wollenhaupt, L. (2022). Conjugacy classes and centralisers in wreath products. Journal of Symbolic Computation, 113, 97–125.

GAP is an open source computational algebra system and programming language. I developed the following packages in the GAP ecosystem:

LINS (Low Index Normal Subgroups) provides an algorithm for computing the normal subgroups of a finitely presented group up to some given index bound.
WPE (Wreath Product Elements) provides efficient methods for working with wreath products.

I also contributed to the following GAP repositories:

GAP: My main contribution is a better low-level interface for wreath product elements.
GAP Package Distro and GAP Release Tools: I was involved in scripts used for the CI, automatic reports on pull requests and release management via Github actions.
GAP-Package Recog: My main contribution is the implementation of an Sn-An recognition algorithm in joint work with Sergio Siccha, mainly based on Jambor, S., Leuner, M., Niemeyer, A. C., & Plesken, W. (2013). Fast recognition of alternating groups of unknown degree. Journal of Algebra, 392, 315–335.