Every finite group with an automorphism of order n and m fixed points has a soluble subgroup of (m,n)-bounded index and Fitting height; the resulting structure theorem answers Hartley's 1995 problem for locally finite groups.
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On a problem of B. Hartley about a small centralizer in finite and locally finite groups
Every finite group with an automorphism of order n and m fixed points has a soluble subgroup of (m,n)-bounded index and Fitting height; the resulting structure theorem answers Hartley's 1995 problem for locally finite groups.