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- W3044568969 abstract "Let $sigma ={sigma_i |iin I}$ is some partition of all primes $mathbb{P}$ and $G$ a finite group. A subgroup $H$ of $G$ is said to be $sigma$-subnormal in $G$ if there exists a subgroup chain $H=H_0leq H_1leq cdots leq H_n=G$ such that either $H_{i-1}$ is normal in $H_i$ or $H_i/(H_{i-1})_{H_i}$ is a finite $sigma_j$-group for some $j in I$ for $i = 1, ldots, n$. We call a finite group $G$ a $T_{sigma}$-group if every $sigma$-subnormal subgroup is normal in $G$. In this paper, we analyse the structure of the $T_{sigma}$-groups and give some characterisations of the $T_{sigma}$-groups." @default.
- W3044568969 created "2020-07-29" @default.
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- W3044568969 date "2020-07-22" @default.
- W3044568969 modified "2023-09-23" @default.
- W3044568969 title "On a generalisation of finite $T$-groups" @default.
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- W3044568969 doi "https://doi.org/10.48550/arxiv.2007.11288" @default.
- W3044568969 hasPublicationYear "2020" @default.
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