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13.17 (1995)

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A representation of a group $G$ on a vector space $V$ is called a nil-representation if for every $v$ in $V$ and $g$ in $G$ there exists $n = n(v, g)$ such that $v(g - 1)^n = 0$. Is it true that in zero characteristic every irreducible nil-representation is trivial? (In prime characteristic it is not true.)

Contributor: S. Vovsi

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