Abstract
AbstractThe Modular Isomorphism Problem asks if an isomorphism of group algebras of two finite$p$p-groups$G$Gand$H$Hover a field of characteristic$p$p, implies an isomorphism of the groups$G$Gand$H$H. We survey the history of the problem, explain strategies which were developed to study it and present the recent negative solution of the problem. The problem is also compared to other isomorphism problems for group rings and various question remaining open are included.
Funder
Centro de Física Teórica y Matemáticas
Publisher
Springer Fachmedien Wiesbaden GmbH
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