Hypercentral unipotent finitary skew linear groups

A group G is said to be finitary (skew) linear, if there exists a vector space V over a field (resp. a division ring) K such that G is a subgroup of FGLK(V) = {g ∈ GLK(V) | dimK [V, g] < ∞}. Clearly, finitary skew linear groups are a generalization of the well-known linear groups. In the present paper we are concerned with the structure of unipotent finitary skew linear groups.