Sofia Brenner

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math.RT2023

On the modular isomorphism problem for groups with center of index at most $p^{3}$

Sofia Brenner, Diego García-Lucas

Let $p$ be an odd prime number. We show that the modular isomorphism problem has a positive answer for finite $p$ -groups whose center has index $p^{3}$ , which is a strong contrast to…

math.RT2022

Ideals in the center of symmetric algebras

Sofia Brenner, Burkhard Külshammer

We study symmetric algebras $A$ over an algebraically closed field $F$ in which the Jacobson radical of the center of $A$ , the socle of the center of $A$ or the Reynolds ideal of $…

On the modular isomorphism problem for groups with center of index at most p3

Ideals in the center of symmetric algebras

On the modular isomorphism problem for groups with center of index at most $p^{3}$