On orders of elements of finite almost simple groups with linear or unitary socle

被引：10

作者：

Grechkoseeva, Mariya A. ^{[1
,2
]}

机构：

[1] Sobolev Inst Math, Ac Koptyuga 4, Novosibirsk 630090, Russia

[2] Novosibirsk State Univ, Ac Koptyuga 4, Novosibirsk 630090, Russia

来源：

JOURNAL OF GROUP THEORY | 2017年 / 20卷 / 06期

基金：

俄罗斯科学基金会;

关键词：

AUTOMORPHIC EXTENSIONS; SPECTRA; FIELDS; RECOGNITION;

D O I：

10.1515/jgth-2017-0010

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We say that a finite almost simple G with socle S is admissible (with respect to the spectrum) if G and S have the same sets of orders of elements. Let L be a finite simple linear or unitary group of dimension at least three over a field of odd characteristic. We describe admissible almost simple groups with socle L. Also we calculate the orders of elements of the coset L tau, where tau is the inverse-transpose automorphism of L.

引用

页码：1191 / 1222

页数：32

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