Some questions on quasinilpotent groups and related classes

• Autores: J. Medina, Francisco Pérez Monasor, María Jesús Iranzo Aznar
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 18, Nº 3, 2002, págs. 747-759
• Idioma: inglés
• Títulos paralelos:
  • Algunas cuestiones sobre grupos cuasinilpotentes y clases relacionadas
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• Resumen

  • In this paper we will prove that if G is a finite group, X a subnormal subgroup of X F*(G) such that X F*(G) is quasinilpotent and Y is a quasinilpotent subgroup of NG(X), then Y F*(NG(X)) is quasinilpotent if and only if Y F*(G) is quasinilpotent. Also we will obtain that F*(G) controls its own fusion in G if and only if G = F*(G).