Periodic Groups Saturated with Finite Simple Groups of Types U3 and L3

Resumo

Suppose that \( \mathfrak{M} \) is a set whose elements are simple three-dimensional unitary groups U₃(q) and linear groups L₃(q) over finite fields. We prove that a periodic group saturated with groups of \( \mathfrak{M} \) is locally finite and isomorphic to U₃(Q) or L₃(Q) for some locally finite field Q.