activity
20052026
most citedCertain properties of the power graph associated with a finite group

54 citations · 81 across the 20 of their papers we have counts for

collaborators

20 papers

math.NT2026

A Matrix-Theoretic Exact Formula for Counting Primes in Intervals Between Consecutive Odd Squares

Wujie Shi

Matrix with was introduced in \cite{Shi2024} as an additive sieve for odd primes. In this paper we introduce the minimal-anchor function $\pmi…

math.GR2023

Quantitative characterization of finite simple groups: a complement

Wujie Shi

In this paper, we summarize the work on the characterization of finite simple groups and the study on finite groups with the set of element orders and two orders (the order of grou…

math.GR2023

A Note on Thompson Problem

Yu Li, Wujie Shi

In this paper, we prove that if two finite groups G and H have isomorphic Burnside rings, then G and H are the same order type groups, and give an example to show that the Burnside…

math.GR2021★ 15 cited

Finite groups isospectral to simple groups

Maria A. Grechkoseeva, Victor D. Mazurov, Wujie Shi +2

The spectrum of a finite group is the set of element orders of this group. The main goal of this paper is to survey results concerning recognition of finite simple groups by spectr…

math.GR2021

On the widths of finite groups (I)

Wujie Shi

Let be a finite group, be the set of prime divisors dividing the order of and (spectrum) denote the set of element orders of . We define = $|π(G…

math.GR2020

On some conjectures related to finite nonabelian simple groups

Jinbao Li, Wujie Shi

In this note we provide some counterexamples for the conjecture of Moretó on finite simple groups, which says that any finite simple group can determined in terms of its order…