Zobrazeno 1 - 10
of 132
pro vyhledávání: '"Shen, Zhencai"'
Let $G$ be a finite group and $N_{\Omega}(G)$ be the intersection of the normalizers of all subgroups belonging to the set $\Omega(G),$ where $\Omega(G)$ is a set of all subgroups of $G$ which have some theoretical group property. In this paper, we s
Externí odkaz:
http://arxiv.org/abs/2402.13365
Autor:
Zhang, Shengmin, Shen, Zhencai
A subgroup $A$ of a finite group $G$ is said to be a $CAP$-subgroup of $G$, if for any chief factor $H/K$ of $G$, either $A H= AK$ or $A\cap H = A \cap K$. Let $p$ be a prime, $S$ be a $p$-group and $\mathcal{F}$ be a saturated fusion system over $S$
Externí odkaz:
http://arxiv.org/abs/2402.00012
Autor:
Zhang, Shengmin, Shen, Zhencai
Let $G$ be a finite group and $H$ be a subgroup of $G$. Then $H$ is called a weakly $S\Phi$-supplemented subgroup of $G$, if there exists a subgroup $T$ of $G$ such that $G =HT$ and $H \cap T \leq \Phi (H) H_{sG}$, where $H_{sG}$ denotes the subgroup
Externí odkaz:
http://arxiv.org/abs/2402.01072
Autor:
Zhang, Shengmin, Shen, Zhencai
Let $p$ be a prime, $S$ be a $p$-group and $\mathcal{F}$ be a saturated fusion system over $S$. Then $\mathcal{F}$ is said to be supersolvable, if there exists a series of $S$, namely $1 = S_0 \leq S_1 \leq \cdots \leq S_n = S$, such that $S_{i+1}/S_
Externí odkaz:
http://arxiv.org/abs/2402.01073
Autor:
Zhang, Shengmin, Shen, Zhencai
A subgroup $H$ of a finite group $G$ is said to be an NC-subgroup of $G$, if $ H^G N_G (H) =G$, where $H^G$ denotes the normal closure of $H$ in $G$. A finite group $G$ is called a PNC-group, if any subgroup of $G$ is an NC-subgroup of $G$, and $G$ i
Externí odkaz:
http://arxiv.org/abs/2312.15780
Publikováno v:
In Neural Networks October 2024 178
Publikováno v:
In Biosystems Engineering August 2024 244:200-210
Autor:
Shen, Zhencai, Zhang, Baoyu
Let $p$ be a prime and $\mathcal{F}$ be a saturated fusion system over a finite $p$-group $P$. The fusion system $\mathcal{F}$ is said to be nilpotent if $\mathcal{F}=\mathcal{F}_{P}(P)$. We provide new criteria for a saturated fusion system $\mathca
Externí odkaz:
http://arxiv.org/abs/2112.00341
Publikováno v:
In Journal of Algebra 15 November 2024 658:748-758
Publikováno v:
In Biosystems Engineering October 2023 234:32-45