Abstract
We prove the following theorem. Let U be a locally finite Suzuki–Higman 2-group with respect to an automorphism group H. Then U and H are representable as the respective unions of ascending chains of finite subgroups U1 < U2 < . . . < U n < . . . and H1 < H2 < . . . < H n < . . ., in which case every subgroup U n is a Suzuki 2-group with respect to H n .
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