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Let A be a finite group acting on a finite group G via automorphisms. Assume that $$(|A|,|G|)=1$$(|A|,|G|)=1. We prove that if $$C_G(A)$$CG(A) is a Hall $$\pi $$π-subgroup of G, then… Click to show full abstract
Let A be a finite group acting on a finite group G via automorphisms. Assume that $$(|A|,|G|)=1$$(|A|,|G|)=1. We prove that if $$C_G(A)$$CG(A) is a Hall $$\pi $$π-subgroup of G, then G has a normal $$\pi $$π-complement.
Keywords:
sufficient condition;
condition fixed;
complement;
fixed points;
points coprime;
normal complement
Journal Title: Archiv der Mathematik
Year Published: 2019
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Journal Title: Archiv der Mathematik
Year Published: 2019
Link to full text (if available)
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recommendations!