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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive

Izv. Akad. Nauk SSSR Ser. Mat., 1973 Volume 37, Issue 5, Pages 988–1009 (Mi im2349)

Characterization of some finite simple groups by biprimaty subgroups. II

V. A. Belonogov


Abstract: In this article, properties of the biprimary subgroups of even order are used to characterize the following series of finite simple groups: the projective special linear groups $PSL(2,q)$, ($q>3$), the projective special unitary groups $PSU(3,2^{2n})$ ($n>1$), the Suzuki groups $\operatorname{Sz}(q)$, the Janko group $J_1$ of order 175560, and the Ree-type groups.

UDC: 519.41

MSC: Primary 20D05; Secondary 20D20, 20G40

Received: 18.12.1972


 English version:
Mathematics of the USSR-Izvestiya, 1973, 7:5, 990–1010

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