PERIODIC SHUNKOV'S GROUPS SATURATED BY THE DIRECT PRODUCTS OF AN ELEMENTARY ABELIAN 2-GROUPS AND A SIMPLE GROUPS L-2(2(m))

Let G be a periodic Shunkov's group containing an involution. It is proved that if every finite subgroup from G of even order is contained in a subgroup, which is isomorphic to the direct product of an elementary abelian 2-group and a group L-2(2(m)) for some m >= 2, that G similar or equal to L-2(Q) x V, where Q is some locally finite field of characteristic 2 and V is a group of period 2.