Algebra Seminar by Leo Margolis

Charlotte Scott Centre for Algebra

On Wednesday the 26th of May 2021, Leo Margolis (Vrije Universiteit Brussel) will be giving a seminar on his research at 4pm. The details of his talk are as follows:

Title: On the Modular Isomorphism Problem

Abstract: The Isomorphism Problem for group rings asks for which groups G and H the group rings of these groups over a given commutative ring R are isomorphic as rings. Less formally speaking, it asks how much the linear representations of G over R know about the structure of the group G. Several concrete formulations of the problem were studied, but the only classical formulation which remains open today and was explicitly formulated by R. Brauer is the Modular Isomorphism Problem: Does the group ring of a finite p-group G over a field of characteristic p determine G up to isomorphism?

Though in contrast to other cases the Modular Isomorphism Problem…

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