Element orders in covers of finite simple groups of Lie type

被引：15
作者：
Grechkoseeva, Mariya A. [1 ,2 ]
机构：
[1] Sobolev Inst Math, Novosibirsk 630090, Russia
[2] Novosibirsk State Univ, Novosibirsk 630090, Russia
来源：
JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2015年 / 14卷 / 04期
关键词：
Recognition by spectrum; symplectic groups; orthogonal groups; exceptional groups; PRIME GRAPH COMPONENTS; RECOGNITION; SPECTRUM; RECOGNIZABILITY;
D O I：
10.1142/S0219498815500565
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
By a proper cover of a finite group G we mean an extension of a nontrivial finite group by G. We study element orders in proper covers of a finite simple group L of Lie type and prove that such a cover always contains an element whose order differs from the element orders of L provided that L is not L-4(q), U-3(q), U-4(q), U-5(2), or D-3(4)(2).
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页数：16
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