International Congress on Mathematical Software 2026

Invited Talk

Portrait of Bettina Eick

Bettina Eick

Institut Analysis und Algebra
Technische Universität Braunschweig


Title:
Computational Group Theory and the Classification of Finite Groups

Abstract:

The talk gives a broad survey on the history of computational group theory and then focus on its application in the classification of finite groups. In particular, the talk shows how the theory of groups is used in this part of computational group theory to design effective algorithms and it discusses its results and open problems.


Biography:

Bettina Eick studied mathematics and computer science at RWTH Aachen University (Germany) including an Erasmus-year at Queen Mary University of London (UK). She earned her diploma at RWTH Aachen in 1993 and completed her PhD in 1997. After postdoctoral appointments at RWTH Aachen and the University of Würzburg, she habilitated at the University of Kassel in 2001 and became Professor of Mathematics at the TU Braunschweig (Germany) later that year.

Bettina Eick joined the development team of the computer algebra system GAP in 1991 and remains an active supporter of it. She is a (co-)author on a variety of GAP packages and she is one of the founders of the widely used SmallGroups Library. Her research areas mainly based in group theory and computer algebra.

More details can be found on the her webpage https://www.iaa.tu-bs.de/beick and the wikipedia page https://en.wikipedia.org/wiki/Bettina_Eick. Lists of publications are available on MathSciNet and ZBMath.