Finite groups with $\Bbb P$-subnormal Sylow subgroup

• Datum: 2020
• Hauptverfasser: Kniahina , V. N., Monakhov , V. S., Княгіна , В. М., Монахов , В. С., Monakhov, Victor
• Format: Artikel
• Sprache: Ukrainisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2020
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/2264
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

UDC 512.542 Let $\Bbb P$ be the set of all primes. A subgroup $H$ of a finite group $G$ is called $\Bbb P$-subnormal, if either $H = G$ or there exists a chain of subgroups $H = H_0\le H_1\le \ldots \le H_n = G$ such that $|H_i\colon H_{i-1}|\in \Bbb P,$ $1\le i\le n.$We prove that any finite group...