On Separable Schur Rings over Abelian Groups

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Abstract

A finite group is said to be weakly separable if every algebraic isomorphism between two S-ringsover this group is induced by a combinatorial isomorphism. We prove that every abelian weakly separable group only belongs to one of several explicitly given families.

Original languageEnglish
Pages (from-to)431-440
Number of pages10
JournalAlgebra Colloquium
Volume28
Issue number3
DOIs
Publication statusPublished - Sep 2021

Keywords

  • abelian groups
  • isomorphisms
  • Schur rings

OECD FOS+WOS

  • 1.01 MATHEMATICS

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