Resumen de Involutory Automorphisms of Groups of Odd Order

Pavel Shumyatsky

• The following theorem is proved. Let G be a finite group of odd order admitting an involutory automorphism f. Suppose that G has derived length d and that CG(f) is nilpotent of class c. Assume that CG(f) is a m-generator. Then [G,f]' is nilpotent of {c,d,m}-bounded class.