Some questions on quasinilpotent groups and related classes
| Autor: | Juan Bosco Frías Medina, M. J. Iranzo, F. Pérez-Monasor |
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| Jazyk: | angličtina |
| Rok vydání: | 2002 |
| Předmět: | |
| Zdroj: | Rev. Mat. Iberoamericana 18, no. 3 (2002), 747-759 |
| Popis: | 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 $N_G(X)$, then $Y F^*(N_G(X})$ 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 $G=F^*{G}$. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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