Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2018 11 (2)
- Authors
- Zenkov, Viktor I.; Nuzhin, Yakov N.
- Contact information
- Zenkov, Viktor I.: Institute of Mathematics and Mechanics UB RAS Kovalevskoi, 16, Ekaterinburg, 620990 Ural Federal University Mira, 19, Ekaterinburg, 620990 Russia; ; Nuzhin, Yakov N.: Institute of Mathematics and Computer Science Siberian Federal University Svobodny, 79, Krasnoyarsk, 660041 Russia;
- Keywords
- finite group; almost simple group; primary subgroup
- Abstract
It is proved that, in a finite group G which is isomorphic to the group of automorphisms of the Chevalley group F4(2), there are only three possibilities for ordered pairs of primary subgroups A and B with condition: A \ Bg ̸= 1 for any g 2 G. We describe all ordered pairs (A;B) of such subgroups up to conjugacy in the group G and in particular, we prove that A and B are 2-groups.
- Pages
- 171–177
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/71042
Journal of Siberian Federal University. Mathematics & Physics / On Intersection of Primary Subgroups in the Group Aut(F4(2))
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