On Characterization of Simple Orthogonal Groups of Odd Dimension in the Class of Periodic Groups

On Characterization of Simple Orthogonal Groups of Odd Dimension in the Class of Periodic Groups

Suppose that is an integer, . We prove that a periodic group saturated with a set of the finite simple groups , where is congruent to modulo 8, is isomorphic to for some locally finite field .

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Veröffentlicht in:Siberian mathematical journal 2021, Vol.62 (1), p.77-83
Hauptverfasser: Lytkina, D. V., Mazurov, V. D.
Format: Artikel
Sprache:eng
Schlagworte:
Fields (mathematics)
Mathematics
Mathematics and Statistics
Physical Sciences
Science & Technology
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Zusammenfassung:Suppose that is an integer, . We prove that a periodic group saturated with a set of the finite simple groups , where is congruent to modulo 8, is isomorphic to for some locally finite field .
ISSN:0037-4466
1573-9260
DOI:10.1134/S0037446621010080