Abstract
Let A be a finite group acting on a finite group G via automorphisms. Assume that \((|A|,|G|)=1\). We prove that if \(C_G(A)\) is a Hall \(\pi \)-subgroup of G, then G has a normal \(\pi \)-complement.
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The author would like to thank an anonymous referee for many invaluable suggestions on the original manuscript.
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Kızmaz, M.Y. A sufficient condition for fixed points of a coprime action to have a normal complement . Arch. Math. 112, 1–3 (2019). https://doi.org/10.1007/s00013-018-1209-6
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DOI: https://doi.org/10.1007/s00013-018-1209-6