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Onp-Schur Rings Over Abelian Groups of Orderp3

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Publication:2876303
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DOI10.1080/00927872.2013.814662zbMath1298.20005OpenAlexW2032163362MaRDI QIDQ2876303

Kijung Kim

Publication date: 18 August 2014

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2013.814662

zbMATH Keywords

finite Abelian groupsCayley schemesSchurian rings\(p\)-Schur rings


Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Association schemes, strongly regular graphs (05E30) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Finite abelian groups (20K01) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)


Related Items

A family of non-Schurian \(p\)-Schur rings over groups of order \(p^3\), On \(p\)-standard table algebras of order \(p^3\). II, On \(p\)-standard table algebras of order \(p^3\), Unnamed Item



Cites Work

  • Unnamed Item
  • Planar functions over finite fields
  • A conjecture on affine planes of prime order
  • A note on permutation polynomials and finite geometries
  • Schur rings.
  • An answer to Hirasaka and Muzychuk: every \(p\)-Schur ring over \(C_p^3\) is Schurian.
  • Theory of Association Schemes
  • An elementary Abelian group of rank 4 is a CI-group
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