消失元素阶数集与PSL(3, p)阶数的识别

Q4 Mathematics

Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica Pub Date : 2022-01-01 DOI:10.47743/anstim.2022.00014

Soleyman Askary

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引用次数: 1

摘要

设G是一个有限群。如果存在g的不可约复字符χ使χ (g) = 0，则我们说g的元素g是一个消失元素。用V o (G)表示G的消失元阶集，证明了G ~ = PSL (3,p)当且仅当V o (G) = V o (PSL (3,p))和| G | = | PSL (3,p) |，其中p是素数。

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Recognition by the set of orders of vanishing elements and order of PSL(3, p)

Let G be a finite group. We say that an element g of G is a vanishing element if there exists an irreducible complex character χ of G such that χ ( g ) = 0. Denote by V o ( G ) the set of order of vanishing elements of G , and we prove that G ∼ = PSL (3 ,p ) if and only if V o ( G ) = V o ( PSL (3 ,p )) and | G | = | PSL (3 ,p ) | , where p is a prime number.

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来源期刊

Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica MATHEMATICS-

CiteScore

0.70

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： This journal is devoted to the publication of original papers of moderate length addressed to a broad mathematical audience. It publishes results of original research and research-expository papers in all fields of mathematics.