小维辛群和正交群的谱识别
On recognition of symplectic and orthogonal groups of small dimensions by spectrum
摘要：
我们把有限群的元素的阶的集合称为它的谱，如果它们的谱重合，则称有限群是等谱的。本文确定了单群$S_6(q)$、$O_7(q)$和$O_8^+(q)$的所有有限群的等谱.特别是，我们证明了只有四个例外，每一个这样的有限群是一个扩展的初始单群的（可能平凡）域自同构。
英文摘要：
We refer to the set of the orders of elements of a finite group as its spectrum and say that finite groups are isospectral if their spectra coincide. In the paper we determine all finite groups isospectral to the simple groups $S_6(q)$, $O_7(q)$, and $O_8^+(q)$. In particular, we prove that with just four exceptions, every such a finite group is an extension of the initial simple group by a (possibly trivial) field automorphism.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
