On spectra of almost simple groups with symplectic or orthogonal socle

被引：9

作者：

Grechkoseeva, M. A. ^{[1
]}

机构：

[1] Novosibirsk State Univ, Sobolev Inst Math, Novosibirsk, Russia

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2016年 / 57卷 / 04期

基金：

俄罗斯基础研究基金会;

关键词：

almost simple groups; orders of elements; recognition by spectrum; FIELDS; RECOGNITION;

D O I：

10.1134/S0037446616040029

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Finite groups are said to be isospectral if they have the same sets of the orders of elements. We investigate almost simple groups H with socle S, where S is a finite simple symplectic or orthogonal group over a field of odd characteristic. We prove that if H is isospectral to S, then H/S presents a 2-group. Also we give a criterion for isospectrality of H and S in the case when S is either symplectic or orthogonal of odd dimension.

引用

页码：582 / 588

页数：7

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