Finite Groups Isospectral to Simple Groups

被引：13
作者：
Grechkoseeva, Maria A. [1 ]
Mazurov, Victor D. [1 ]
Shi, Wujie [2 ,3 ]
Vasil'ev, Andrey V. [1 ,4 ]
Yang, Nanying [5 ]
机构：
[1] Sobolev Inst Math, Koptyuga 4, Novosibirsk 630090, Russia
[2] Chongqing Univ Arts & Sci, Dept Math, Chongqing 402160, Peoples R China
[3] Suzhou Univ, Sch Math, Suzhou 215006, Peoples R China
[4] Hainan Univ, Sch Sci, Haikou 570228, Hainan, Peoples R China
[5] Jiangnan Univ, Sch Sci, Wuxi 214122, Jiangsu, Peoples R China
来源：
COMMUNICATIONS IN MATHEMATICS AND STATISTICS | 2023年 / 11卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Finite group; Simple group; Element order; Spectrum; Recognition by spectrum; SIMPLE LINEAR-GROUPS; SIMPLE EXCEPTIONAL GROUPS; PRIME GRAPH COMPONENTS; SIMPLE UNITARY GROUPS; ELEMENT ORDERS; AUTOMORPHIC EXTENSIONS; ALTERNATING GROUPS; ORTHOGONAL GROUPS; RECOGNITION; SPECTRUM;
D O I：
10.1007/s40304-022-00288-5
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 element orders of this group. The main goal of this paper is to survey results concerning recognition of finite simple groups by spectrum, in particular, to list all finite simple groups for which the recognition problem is solved.
引用
收藏
页码：169 / 194
页数：26
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