11.116 (1990)

The dimension of a partially ordered set $\langle P, \leqslant \rangle$ is, by definition, the least cardinal number $\delta$ such that the relation $\leqslant$ is an intersection of $\delta$ relations of linear order on $P$. Is it true that, for any Chernikov group which does not contain a direct product of two quasicyclic groups over the same prime number, the subgroup lattice has finite dimension? Expected answer: yes.