The negative answer by counterexample to the Modular Isomorphism Problem for group rings (that is, the question whether for $p$-groups $G$ and $H$, the group rings ${\mathbb F}_p G$ and ${\mathbb F}_p H$ are isomorphic only if $G$ and $H$ are isomorphic) by Garcia-Lucas, Margolis and del Rio.
García-Lucas, Diego; Margolis, Leo; del Río, Ángel, Non-isomorphic 2-groups with isomorphic modular group algebras, J. Reine Angew. Math. 783, 269-274 (2022). ZBL1514.20019.