## Recognition of the group $$O_{10}^+(2)$$ from its spectrum.(Russian, English)Zbl 1033.20014

Sib. Mat. Zh. 44, No. 4, 737-741 (2003); translation in Sib. Math. J. 44, No. 4, 577-580 (2003).
The author proves that if the set of orders of elements of a finite group $$G$$ coincides with the set of orders of elements of the group $$D=O_{10}^+(2)$$, then $$G$$ is isomorphic to $$D$$. In other words, it is proved that $$O_{10}^+(2)$$ is recognizable from its spectrum.

### MSC:

 20D06 Simple groups: alternating groups and groups of Lie type 20D60 Arithmetic and combinatorial problems involving abstract finite groups
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