Solubility of finite groups admitting a fixed-point-free automorphism of orderrst III
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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 α of order rst (r, s andt distinct primes)is soluble.
Here we prove that in a minimal counterexample to the above theorem the set ofα-invariant Sylowp-subgroupsP, such thatC p(α i)≠1 for allα i≠1, generate a soluble subgroup.
KeywordsFinite Group Sylow Subgroup Invariant Subgroup Characteristic Subgroup Require Contradiction
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