Science in China Series A: Mathematics

, Volume 45, Issue 8, pp 998–1005 | Cite as

On isomorphisms of integral table algebras

  • Yun Fan
  • Daying Sun


For integral table algebras with integral table basisT, we can consider integralR-algebraRT over a subringR of the ring of the algebraic integers. It is proved that anR-algebra isomorphism between two integral table algebras must be an integral table algebra isomorphism if it is compatible with the so-called normalizings of the integral table algebras


integral table algebra integral table algebra isomorphism characteristic matrix 


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  1. 1.
    Arad, Z., Blau, H. I., On table algebras and application to finite group theory, J. of Algebra, 1991, 138: 137–185.MATHCrossRefMathSciNetGoogle Scholar
  2. 2.
    Arad, Z., Fisiman, E., About products of irreducible characters and products of conjugacy classes in finite groups, J. of Algebra, 1988, 114: 466–476.MATHCrossRefGoogle Scholar
  3. 3.
    Bannai, E., Ito, T., Algebraic Combinatorics (I)-Association Schemes, London: Benjamin/ Cummings Publ. Company, Inc., 1984.MATHGoogle Scholar
  4. 4.
    Blau, H. I., Quotient structure in C-algebras, J. of Algebra, 1995, 175: 24–64.MATHCrossRefMathSciNetGoogle Scholar
  5. 5.
    Weidman, D. R., The character ring of a finite group, Illinois J. Math., 1966, 9: 462–467.MathSciNetGoogle Scholar
  6. 6.
    Saksonov, A. L., The integral ring of characters of a finite group, Bull. Acad. Science USSR, Ser. Physics-Math Science, 1966, (3): 69-76.Google Scholar

Copyright information

© Science in China Press 2002

Authors and Affiliations

  1. 1.Depatment of MathematicsWuhan UniversityWuhanChina

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