In this paper we will prove that if is a finite group, a subnormal subgroup of such that is quasinilpotent and is a quasinilpotent subgroup of , then \( Y F^*(N_G(X}) \) is quasinilpotent if and only if is quasinilpotent. Also we will obtain that controls its own fusion in if and only if .
Cite this article
María Jesús Iranzo, Juan Medina, Francisco Pérez-Monasor, Some questions on quasinilpotent groups and related classes. Rev. Mat. Iberoam. 18 (2002), no. 3, pp. 747–759DOI 10.4171/RMI/335