Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2023 16 (4)
- Authors
- Markovskaya, Irina A.; Nuzhin, Yakov N.
- Contact information
- Markovskaya, Irina A.: Siberian Federal University Krasnoyarsk, Russian Federation; ; Nuzhin, Yakov N.: Siberian Federal University Krasnoyarsk, Russian Federation;
- Keywords
- general linear group; ring of integers; generating triples of involutions
- Abstract
It is proved that the general linear group GLn(Z) (its projective image PGLn(Z) respectively) over the ring of integers Z is generated by three involutions, two of which commute, if and only if n > 5 (if n = 2 and n > 5 respectively)
- Pages
- 413–419
- EDN
- BHNJYZ
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/150183
Journal of Siberian Federal University. Mathematics & Physics / On Generation of the Groups GLn(Z) and PGLn(Z) by Three Involutions, Two of which Commute
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