Involutory Automorphisms of Groups of Odd Order

• Autores: Pavel Shumyatsky
• Localización: Monatshefte für mathematik, ISSN 0026-9255, Vol. 146, Nº 1, 2005, págs. 77-82
• Idioma: inglés
• DOI: 10.1007/s00605-004-0289-5
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• Resumen

  • 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.