Chi Zhang

activity

20182022

collaborators

10 papers

math.RA2022

Harrison center and products of sums of powers

Hua-Lin Huang, Lili Liao, Huajun Lu +1

This paper is mainly concerned with identities like \[ (x_1^d + x_2^d + \cdots + x_r^d) (y_1^d + y_2^d + \cdots y_n^d) = z_1^d + z_2^d + \cdots + z_n^d \] where $d > 2,$ $x=(x_1, x_2…

math.RA2021

Centers of Multilinear Forms and Applications

Hua-Lin Huang, Huajun Lu, Yu Ye +1

In this paper we study the center algebras of multilinear forms. It is shown that the center of a nondegenerate multilinear form is a finite dimensional commutative algebra and can…

math.NT2021

A Solution of Sierpinski Problem Based m

Chi Zhang

In 1960, W. Sierpinski proved that there are infinitely many positive odd numbers $k$ , such that for any positive integer $n$ , $k \times 2^{n} + 1$ is a composite number. Such numbers ar…

math.GR2021

On finite groups factorized by $σ$ -nilpotent subgroups

Zhenfeng Wu, Chi Zhang

Let $G$ be a finite group and $σ = {σ_{i} ∣ i \in I}$ be a partition of the set of all primes $P$ , that is, $P = ⋃_{i \in I} σ_{i}$ and $σ_{i} \cap σ_{j} = \emptyset$ …

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.GR2020

Extension of elementary $p$ -groups and its application in classification of groups of prime exponent

Zheyan Wan, Yu Ye, Chi Zhang

Let $p$ be a prime number and $Z_{p} = Z / p Z$ . We study finite groups with abelian derived subgroup and exponent $p$ in terms of group extension data and thei…

Harrison center and products of sums of powers

Centers of Multilinear Forms and Applications

A Solution of Sierpinski Problem Based m

On finite groups factorized by σ-nilpotent subgroups

On a generalisation of finite T-groups

Extension of elementary p-groups and its application in classification of groups of prime exponent

On finite groups factorized by $σ$ -nilpotent subgroups

On a generalisation of finite $T$ -groups

Extension of elementary $p$ -groups and its application in classification of groups of prime exponent