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2.63 (1966)

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Let $G$ be a group of automorphisms of a vector space over a field of characteristic zero, and suppose that all elements of $G$ are unipotent, with uniformly bounded unipotency indices. Must such a group be locally finitely stable (see 2.58)?

Contributor: B. I. Plotkin

Progress

Yes, it must, which follows from (H. Heineken, Arch. Math. (Basel), 13 (1962), 29–37). Moreover, such a group is even finitely stable, as follows from (E. I. Zel’manov, Math. USSR-Sb., 66, no. 1 (1990), 159–168).

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