Resumen de Periodic groups saturated by finite simple groups U3(2m)

D. V. Lytkina, L. R. Tukhvatullina, K. A. Filippov

• Let {ie166-01} be a set of finite groups. A group G is said to be saturated by the groups in {ie166-02} if every finite subgroup of G is contained in a subgroup isomorphic to a member of {ie166-03}. It is proved that a periodic group G saturated by groups in a set {U3(2m) | m = 1, 2, �} is isomorphic to U3(Q) for some locally finite field Q of characteristic 2; in particular, G is locally finite.