Wenbin Guo

activity

20162020

most citedNumber of Sylow subgroups in finite groups

1 citations · 1 across the 2 of their papers we have counts for

collaborators

7 papers

math.GR2020

On a generalisation of finite $T$ -groups

Chi Zhang, Wenbin Guo

Let $σ = {σ_{i} ∣ i \in I}$ is some partition of all primes $P$ and $G$ a finite group. A subgroup $H$ of $G$ is said to be $σ$ -subnormal in $G$ if there exists a subgroup cha…

math.GR2018

Spectra of Cayley graphs

Wenbin Guo, Daria V. Lytkina, Victor D. Mazurov +1

Let $G$ be a group and $S \subseteq G$ its subset such that $S = S^{- 1}$ , where $S^{- 1} = {s^{- 1} ∣ s \in S}$ . Then {\it the Cayley graph $Cay (G, S)$ } is an undirected graph $Γ$ …

math.GR2018

The reduction theorem for relatively maximal subgroups

Wenbin Guo, Danila O. Revin, Evgeny P. Vdovin

Let $X$ be a class of finite groups closed under taking subgroups, homomorphic images and extensions. It is known that if $A$ is a normal subgroup of a finite group $G$ …

math.GR2018

Finite groups with Frobenius normalizer condition for non-normal primary subgroups

Zhang Chi, Wenbin Guo

A finite group $P$ is said to be \emph{primary} if $∣ P ∣ = p^{a}$ for some prime $p$ . We say a primary subgroup $P$ of a finite group $G$ satisfies the \emph{Frobenius normalizer cond…

math.GR2018

On an open problem of Skiba

Zhenfeng Wu, Chi Zhang, Wenbin Guo

Let $σ = {σ_{i} ∣ i \in I}$ be some partition of the set $P$ of all primes, that is, $P = ⋃_{i \in I} σ_{i}$ and $σ_{i} \cap σ_{j} = \emptyset$ for all $i \neq = j$ . Let…

math.GR2017★ 1 cited

Number of Sylow subgroups in finite groups

Wenbin Guo, Evgeny Vdovin

Denote by $ν_{p} (G)$ the number of Sylow $p$ -subgroups of $G$ . It is not difficult to see that $ν_{p} (H) \leq ν_{p} (G)$ for $H \leq G$ , however $ν_{p} (H)$ does not divide $ν_{p} (G)$ in general.…

On a generalisation of finite T-groups

Spectra of Cayley graphs

The reduction theorem for relatively maximal subgroups

Finite groups with Frobenius normalizer condition for non-normal primary subgroups

On an open problem of Skiba

Number of Sylow subgroups in finite groups

On a generalisation of finite $T$ -groups