20F50 20F22 4 20E15 3 20E26 3 20F19 3 locally finite group 3 locally nilpotent residual 3 20B35 2 20E08 2 20E34 2 20F16 2 20F18 2 20F28 2 diagonal embedding 2 direct limit 2 finite special rank 2 group automorphisms 2 homogeneous symmetric group 2 local isometry 2 locally nilpotent radical 2 periodic group 2 rooted tree 2 self-normalizing subgroup 2 soluble group 2 transitively normal subgroups 2 0–rank 1 20-00 1 20B07 1 20C07 1 20E07 1