Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. Prepublication
- Authors
- Koibaev, Vladimir A.
- Contact information
- Koibaev, Vladimir A. : North-Ossetian State University after K. L. Khetagurov (Vladikavkaz, Russian Federation); Southern Mathematical Institute VSC RAS (Vladikavkaz, Russian Federation); OCRID: 0000-0002-5142-2612
- Keywords
- linear groups; net subgroups; non-split maximal torus
- Abstract
We study nets and net subgroups that define the structure of subgroups of the general linear group G = GL(3, Q) of degree 3 over the field of rational numbers Q, containing a non-split maximal torus T = T (d) associated with a radical (cyclic) extension Q( 3 √d) of degree 3 of the field of rational numbers Q. The calculation of the normalizer N (σ) is given of the elementary net subgroup E(σ) in the group G
- Pages
- 637–645
- EDN
- OTVJHQ
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/159289
Journal of Siberian Federal University. Mathematics & Physics / The Net Subgroups of the Group GL(3, Q), Defining the Structure of Overgroups of a Cyclic Torus
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