Wenbin Guo

activity

20122022

π

F

-norm and the

H

F

-norm of a finite group

13 citations · 67 across the 27 of their papers we have counts for

collaborators

27 papers

math.GR2022★ 1 cited

On embedding theorems for $X$ -subgroups

Wenbin Guo, Danila O. Revin, Andrey V. Vasil'ev

Let $X$ be a class of finite groups closed under subgroups, homomorphic images, and extensions. We study the question which goes back to the lectures of H. Wielandt in 1…

math.GR2021★ 2 cited

On Cayley representations of central Cayley graphs over almost simple groups

Jin Guo, Wenbin Guo, Grigory Ryabov +1

A Cayley graph over a group $G$ is said to be central if its connection set is a normal subset of $G$ . We prove that every central Cayley graph over a simple group $G$ has at most…

math.GR2021

When is the search of relatively maximal subgroups reduced to quotients?

Wenbin Guo, Danila O. Revin

Let $X$ be a class of finite groups closed under taking subgroups, homomorphic images, and extensions. Denote by $k_{X} (G)$ the number of conjuga…

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★ 3 cited

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★ 6 cited

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 $G$ …

On embedding theorems for X-subgroups