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11.94 (1990)

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Describe all simply reducible groups, that is, groups such that all their characters are real and the tensor product of any two irreducible representations contains no multiple components. This question is interesting for physicists. Is every finite simply reducible group soluble?

Contributor: S. P. Strunkov

Progress

Yes, it is (L. S. Kazarin, E. I. Chankov, Sb. Math., 201, no. 5 (2010), 655–668).

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