Abstract
This paper, which is one of a series of four, contributes to the proof of the following THEOREM. A finite group admitting a coprime fixed-point-free automorphism a of order rst (r, s and t distinct primes) is soluble. Here we prove that in a minimal counterexample to the above theorem the set of a-invariant Sylow p-subgroups P, such that Cp(~')~l for all c~l, generate a soluble subgroup.
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