On recognition of direct powers of finite simple linear groups by spectrum

被引：1

作者：

Yang, Nanying ^{[1
]}

Gorshkov, Ilya ^{[2
]}

Staroletov, Alexey ^{[2
]}

Vasil'ev, Andrey V. ^{[2
]}

机构：

[1] Jiangnan Univ, Sch Sci, Wuxi 214122, Peoples R China

[2] Sobolev Inst Math, 4 Acad Koptyug Ave, Novosibirsk 630090, Russia

来源：

ANNALI DI MATEMATICA PURA ED APPLICATA | 2023年 / 202卷 / 06期

关键词：

Finite simple groups; Element orders; Recognition by spectrum; Prime graph;

D O I：

10.1007/s10231-023-01336-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The spectrum of a finite group is the set of its element orders. We give an affirmative answer to Problem 20.58(a) from the Kourovka Notebook proving that for every positive integer k, the k-th direct power of the simple linear group L-n(2) is uniquely determined by its spectrum in the class of finite groups provided n is a power of 2 greater than or equal to 56k(2).

引用

页码：2699 / 2714

页数：16

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