Seminario / Stanojkovski
The organising committee of the
Ischia Online Group Theory Conference(GOThIC)
is inviting you to a scheduled Zoom meeting.
- The TIME OF THE TALK is 17:00 CET = UTC + 1.
- You are welcome to share the Zoom link with other interested
parties, but PLEASE DO NOT POST THE LINK PUBLICLY.
- When joining, please MAKE SURE THAT YOUR NICKNAME IS YOUR NAME AND
SURNAME, or close to it, so that the organisers can recognise you
and let you in
The Ischia Group Theory 2020 Conference
planned for 30 March - 4 April 2020, was postponed.
In the meantime, we are organising a series of online lectures
by leading researchers (https://sites.google.com/unisa.it/e-igt2020/).
TIME: January 21tst, 2021 17:00 CET (UTC+1)
COFFEE BREAK: The talk will start at 17:00 CET.
The conference room will open at 16:45 CET for a coffee break
- Bring Your Own tea/coffee mug - biscuits appreciated -
and join us for some smalltalk before the event.
SPEAKER: Mima Stanojkovski (Max Planck Institute)
TITLE: On the modular isomorphism problem for groups of class 3
ABSTRACT: Let G be a finite group and let R be a commutative ring. In 1940, G. Higman asked whether the isomorphism type of G is determined by its group ring RG. Although the Isomorphism Problem has generally a negative answer, the Modular Isomorphism Problem (MIP), for G a p-group and R a field of positive characteristic p, is still open. Examples of p-groups for which the (MIP) has a positive solution are abelian groups, groups of order dividing 2^9 or 3^7 or p^5, certain groups of maximal class, etc.
I will give an overview of the history of the (MIP) and will present recent joint work with Leo Margolis for groups of nilpotency class 3. In particular, our results yield new families of groups of order p^6 and p^7 for which the (MIP) has a positive solution and a new invariant for certain 2-generated groups of class 3.