2022/09/01 by Grigory Ryabov, Ryabov, Grigory
Mathematics · #Finite Group Theory Research #Rings, Modules, and Algebras #Advanced Topics in Algebra
paper · pdf · doi:10.48550/arxiv.2209.00286
A finite group G is called a Schur group if every S-ring over G is schurian, i.e. associated in a natural way with a subgroup of \sym(G) that contains all right translations. We prove that every nonabelian nilpotent Schur group belongs to one of the explicitly given families of groups.