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13.8 (1995)

Open

(B. Hartley). Is it true that a locally soluble periodic group has a finite normal series with locally nilpotent factors if it contains an element
$\qquad$ a) with finite centralizer?
$\qquad$ b) with Chernikov centralizer?

Contributor: V. V. Belyaev

Progress

Editors' comment: *a) Yes, it is true (E. Khukhro, to appear in Bull. London Math. Soc., 2025, http://arxiv.org/abs/2505.20999).

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