Abstract
Throughout this chapter we assume that (A,B) is a standard integral table algebras generated by a non-real element of degree 4 and min(B) ≥ 3. The structure of the algebras from the class A strongly depends on the structure of the multiset \( [b\bar b] \) where b is a non-real faithful element of B of degree 4. A direct verification shows that the following multisets exhibit all possibilities for \( [b\bar b] \) : [14,62],[14,43],[14,34],[14,42,41], [14,41,41,41],[14,81,41],[14,121].
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© 2002 Springer-Verlag Berlin Heidelberg
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Arad, Z., Muzychuk, M., Arisha, H., Fisman, E. (2002). Integral Table Algebras with a Faithful Nonreal Element of Degree 4. In: Arad, Z., Muzychuk, M. (eds) Standard Integral Table Algebras Generated by Non-real Element of Small Degree. Lecture Notes in Mathematics, vol 1773. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45558-2_2
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DOI: https://doi.org/10.1007/3-540-45558-2_2
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-42851-0
Online ISBN: 978-3-540-45558-5
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