Abstract
Suppose that $$ \mathfrak{M} $$ is a set whose elements are simple three-dimensional unitary groups U 3(q) and linear groups L 3(q) over finite fields. We prove that a periodic group saturated with groups of $$ \mathfrak{M} $$ is locally finite and isomorphic to U 3(Q) or L 3(Q) for some locally finite field Q.
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