THE RECOGNITION OF FINITE SIMPLE GROUPS WITH NO ELEMENTS OF ORDER 10 BY THEIR ELEMENT ORDERS

被引：1

作者：

He, Huaiyu ^{[1
]}

Shi, Wujie ^{[2
,3
]}

机构：

[1] Shanghai Univ Polit Sci & Law, Dept Econ & Management, Shanghai 201701, Peoples R China

[2] Chongqing Univ Arts & Sci, Dept Math, Chongqing 402160, Peoples R China

[3] Suzhou Univ, Sch Math, Suzhou 215006, Peoples R China

来源：

INTERNATIONAL JOURNAL OF GROUP THEORY | 2022年 / 11卷 / 01期

基金：

中国国家社会科学基金;

关键词：

recognition; spectrum; simple group; cover; SPECTRUM; RECOGNIZABILITY; FIELDS;

D O I：

10.22108/ijgt.2021.124142.1640

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The spectrum of a finite group is the set of its element orders. H is said to be a finite cover of G if G is a homomorphic image of H and H is finite. The main aim of this article is to characterize the finite simple groups with no elements of order 10 by its spectrum among covers. At the same time, above simple groups are completely classified. At last, some results on the recognition by spectrum of above groups are also achieved.

引用

页码：17 / 22

页数：6

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