English

On separable Schur rings over abelian groups

Group Theory 2021-11-04 v4 Combinatorics

Abstract

A finite group is said to be weakly separable if every algebraic isomorphism between two SS-rings over this group is induced by a combinatorial isomorphism. In the paper we prove that every abelian weakly separable group belongs to one of several explicitly given families only.

Keywords

Cite

@article{arxiv.1903.00409,
  title  = {On separable Schur rings over abelian groups},
  author = {Grigory Ryabov},
  journal= {arXiv preprint arXiv:1903.00409},
  year   = {2021}
}

Comments

arXiv admin note: text overlap with arXiv:1812.11313

R2 v1 2026-06-23T07:55:38.287Z