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On Recognition of $ L_{4}(q) $ and $ U_{4}(q) $ by Spectrum
Siberian Mathematical Journal ( IF 0.5 ) Pub Date : 2021-01-18 , DOI: 10.1134/s0037446620060063
M. A. Grechkoseeva , M. A. Zvezdina

Groups are said to be isospectral if they have the same sets of element orders. Suppose that \( L \) is a finite simple linear or unitary group of dimension 4 over a field of odd characteristic. We prove that every finite group isospectral to \( L \) is an almost simple group with socle \( L \).



中文翻译:

通过频谱识别$ L_ {4}(q)$和$ U_ {4}(q)$

如果组具有相同的元素顺序集,则称它们为等光谱的。假设 \(L \)是一个奇数特性场上尺寸为4的有限简单线性或or群。我们证明,等价于\(L \)的每个有限群 都是一个几乎简单的具有socle  \(L \)的群

更新日期:2021-01-18
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