Оn the soluble radical of the finite groups

• Datum: 2020
• Hauptverfasser: Bashun, S. Yu., Palchik , E. M., Башун, C. Ю., Пальчик, Э. М.
• Format: Artikel
• Sprache: Russisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2020
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/800
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

UDC 512.542<br> We assume that $G$ is a finite group, $\pi(G)=\{s\}\cup \sigma$, $s > 2$, $\Sigma$ is a set of Sylow$\sigma$-subgroups taken one for each $p_i\in \sigma$, $R(G)$ is the largest normal soluble subgroup in $G$ (the soluble radical of $G$). Suppose also...