Finite groups with \mathbb{P }-subnormal subgroups |
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| Authors: | Victor S Monakhov Viktoryia N Kniahina |
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| Institution: | 1. Department of Mathematics Gomel F. Scorina State University, Sovetskaya Str. 104, Gomel, 246019, Belarus
2. Gomel Engineering Institute of MES of Belarus, Retchitskoe Shosse 35a, Gomel, 246035, Belarus
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| Abstract: | A subgroup $H$ of a group $G$ is called $\mathbb{P }$ -subnormal in $G$ whenever either $H=G$ or there is a chain of subgroups $H=H_0\subset H_1\subset \cdots \subset H_n=G$ such that $|H_i:H_{i-1}|$ is a prime for all $i$ . In this paper we study groups with $\mathbb{P }$ -subnormal 2-maximal subgroups, and groups with $\mathbb{P }$ -subnormal primary cyclic subgroups. |
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