Periodic Groups Saturated with Finite Simple Unitary Groups of Degree 4 over Finite Fields of Odd Characteristic

Suppose that is some nonempty set of finite groups. A group is saturated with groups from if each finite subgroup of lies in a subgroup isomorphic to an element of . We prove that a periodic group with locally finite centralizers of involutions which is saturated with simple unitary groups of degree 4 over finite fields of fixed odd characteristic is isomorphic to a simple unitary group of degree 4 over some locally finite field of characteristic .