On Spectra of Almost Simple Extensions of Even-Dimensional Orthogonal Groups

Сибирский математический журнал

M. A. Grechkoseeva¹ 

[1] Sobolev Institute of Mathematics

关键词: almost simple group;    orders of elements;    recognition by spectrum;    quasirecognition;   

DOI  :  10.1134/S0037446618040055

学科分类：数学（综合）

来源: Izdatel stvo Instituta Matematiki Rossiiskoi Akademii Nauk

【 摘 要 】

The spectrum of a finite group is the set of the orders of its elements. We consider the problem that arises within the framework of recognition of finite simple groups by spectrum: Determine all finite almost simple groups having the same spectrum as its socle. This problem was solved for all almost simple groups with exception of the case that the socle is a simple even-dimensional orthogonal group over a field of odd characteristic. Here we address this remaining case and determine the almost simple groups in question.

【 授权许可】

CC BY