素数图直径为3的有限可解群

IF 0.8 3区数学 Q2 MATHEMATICS

Acta Mathematica Sinica-English Series Pub Date : 2025-03-15 DOI:10.1007/s10114-025-2021-4

Guohua Qian

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引用次数: 0

摘要

设G是一个有限群，π(G)是∣G∣的素数的集合。G的素数图Γ(G)是顶点集π(G)的图，且不同的p， q∈π(G)被一条边连接当且仅当G具有pq阶的元素。本文刻画了素数图直径为3的有限可解群。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Finite Solvable Groups Whose Prime Graphs have Diameter 3

Let G be a finite group and π(G) be the set of prime divisors of ∣G∣. The prime graph Γ(G) of G is the graph with vertex set π(G), and different p, q ∈ π(G) are joined by an edge if and only if G has an element of order pq. In this paper, we characterize the finite solvable groups whose prime graphs have diameter 3.

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来源期刊

Acta Mathematica Sinica-English Series 数学-数学

CiteScore

1.00

自引率

0.00%

发文量

138

审稿时长

14.5 months

期刊介绍： Acta Mathematica Sinica, established by the Chinese Mathematical Society in 1936, is the first and the best mathematical journal in China. In 1985, Acta Mathematica Sinica is divided into English Series and Chinese Series. The English Series is a monthly journal, publishing significant research papers from all branches of pure and applied mathematics. It provides authoritative reviews of current developments in mathematical research. Contributions are invited from researchers from all over the world.