On separable abelian p-groups

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Abstract

An S-ring (a Schur ring) is said to be separable with respect to a class of groups K if every algebraic isomorphism from the S-ring in question to an S-ring over a group from K is induced by a combinatorial isomorphism. A finite group is said to be separable with respect to K if every S-ring over this group is separable with respect to K. We provide a complete classification of abelian p-groups separable with respect to the class of abelian groups.

Original languageEnglish
Pages (from-to)467-479
Number of pages13
JournalArs Mathematica Contemporanea
Volume17
Issue number2
DOIs
Publication statusPublished - 1 Jan 2019

Keywords

  • Isomorphisms
  • P-groups
  • Schur rings

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