Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2024 17 (6)
- Authors
- Gvozdev, Rodion I.
- Contact information
- Gvozdev, Rodion I.: Siberian Federal University Krasnoyarsk, Russian Federation;
- Keywords
- special linear group; the ring of Gaussian integers; generating triples of involutions
- Abstract
It is proved that the group SL6(Z + iZ) is generated by three involutions. Previously, the solution of the problem on the existence of generating triples of involutions two of which commute was completed for the groups SLn(Z+iZ) and PSLn(Z+iZ) (Math. notes, 115 (2024), no. 3). The question of generating these groups by three involutions remained unresolved only for SL6(Z + iZ)
- Pages
- 693–697
- EDN
- BAENPA
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/154110
Journal of Siberian Federal University. Mathematics & Physics / Generation of the Group SL6(Z + iZ) by Three Involutions
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