Seminarium wydziałowe w dniu 06.03.2024 r. o godz. w 13:15 w sali 128

Prelegent: mgr Kamil Zabielski.

Tytuł wystąpienia: A generalisation and simplification of modular isomorphism problem counterexample

Abstract:
The modular isomorphism problem asks if two finite group algebras (FG and FH) of p-groups (G and H) over a field of characteristic p implies the isomorphism between the groups G and H. The main goal of this talk is to simplify and generalise the counterexample for 2-groups. We will do a brief introduction to the theory and the problem itself with light inserts of historical results, present the counterexample for 2-groups, show its simplification process with numerous samples from computational algebra closing with further research goals.