Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. Prepublication
- Authors
- Markovskaya, Irina A.
- Contact information
- Markovskaya, Irina A. : Siberian Federal University Krasnoyarsk, Russian Federation; OCRID: 0000-0002-3727-9880
- Keywords
- general linear group; finite fields; generating triples of involutions; string C-groups; regular polytopes
- Abstract
It is proved that the group of all (n × n)-matrices with determinant ±1 over a finite field of q elements for odd q is generated by three involutions, two of which commute, if and only if n > 5. It is also established that for n > 5 this group is the automorphism group of a regular 3-polytope of type [4p, n] or [4p, 2n], where q is a power of a prime number p
- Pages
- 756–769
- EDN
- EMRPDG
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/157499
Journal of Siberian Federal University. Mathematics & Physics / On Generating Sets of Matrix Groups over Finite Fields
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