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9.56 (1984)

Solved

Find all finite groups with the property that the tensor square of any ordinary irreducible character is multiplicity free.

Contributor: J. Saxl

Progress

Such groups are shown to be soluble (L. S. Kazarin, E. I. Chankov, Sb. Math., 201, no. 5 (2010), 655–668), and abundance of examples shows that a classification of such soluble groups is not feasible.

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