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11.35 (1990)

Solved

Suppose that $H$ is a finite linear group over $\mathbb{C}$ and $h$ is an element of $H$ of prime order $p$ which is not contained in any abelian normal subgroup. Is it true that $h$ has at least $(p - 1)/2$ different eigenvalues?

Contributor: A. E. Zalesskii

Progress

Yes, it is (G. R. Robinson, J. Algebra, 178, no. 2 (1995), 635–642).

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