2018/02/13 by István Kovács, Kovács, István, Grigory Ryabov +1
Mathematics · #05C25 #05C60 #20B25 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR)
paper · doi:10.48550/arxiv.1802.04571
openalex publication_date 2018/02/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A Schur ring over a finite group is said to be decomposable if it is the generalized wreath product of Schur rings over smaller groups. In this paper we establish a sufficient condition for a decomposable Schur ring over the direct product of elementary abelian groups to be a CI-Schur ring. By using this condition we reprove in a short way known results on the CI-property for decomposable Schur rings over an elementary abelian group of rank at most 5.