×

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
PDF BibTeX XML Cite
Full Text: EuDML EMIS