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Original Articles

Toward the classification of normalized integral table algebras generated by a faithful non-real element of degree 3 with L1(B)={1} (I)

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Pages 2315-2345 | Received 16 Sep 2016, Accepted 27 Dec 2019, Published online: 28 Jan 2020

References

  • Arad, Z. (1999). Homogeneous integral table algebras of two, three and four with a faithful element. In: Group St. Andrews 1997 in Bath, London Mathematical Society, Lecture Notes Series, Vol. 260. Cambridge: Cambridge University Press, pp. 20–29.
  • Arad, Z., Xu, B., Chen, G., Cohen, E., Hussam, A., Muzychuk, M. (2011). On Normal Integral Table Algebras (Fusion Rings): Generated by a Faithful Non-real Element of Degree 3 (Algebra and Applications), Algebra and Applications, Vol. 16. London: Springer-Verlag, pp. 473–483.
  • Arad, Z., Blau, H. (1991). On table algebras and application to finite group theory. J. Algebra 138(1):137–185. DOI: 10.1016/0021-8693(91)90195-E.
  • Arad, Z., Chen, G. (2005). On four normalized table algebras generated by a faithful nonreal element of degree 3. J. Algebra 283:457–484. DOI: 10.1016/j.jalgebra.2004.09.008.
  • Arad, Z., Erez, E., Muzychuk, M. (2006). On homogeneous integral table algebras of degree 4. Commun. Algebra 34(2):463–519. DOI: 10.1080/00927870500387572.
  • Arad, Z., Herzog, M., eds. (1985). Products of Conjugacy Classes in Groups, Lecture Note in Mathematics, Vol. 1112. Berlin, Germany: Springer Verlag.
  • Arad, Z., Muzychuk, M., Arisha, H., Fisman, E. (2002). Integral Table Algebras with a Faithful Nonreal Element of Degree 4. Standard Integral Table Algebras Generated by a Non-Real Element of Small Degree, Lecture Note in Mathematics, Vol. 1773. Berlin: Springer, pp. 13–41.
  • Blau, H. I. (1995). Integral table algebras, affine diagrams, and the analysis of degree two. J. of Algebra 178(3):872–918. DOI: 10.1006/jabr.1995.1382.
  • Blau, H. I. (1997). Homogeneous integral table algebras of degree two. Algebra Colloq. 4:393–408.
  • Blau, H. I., Xu, B., Arad, Z., Fisman, E., Miloslvsky, V., Muzychuk, M. (2000). Homogeneous integral table algebras of degree three: A trilogy. Memoirs Amer. Math. Soc. 144(684): xii+89 pp. DOI: 10.1090/memo/0684.

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