Journal of Siberian Federal University. Mathematics & Physics / The Minimal Number of Generating Conjugate Involutions whose Product is Equal to 1 of the Groups SU5(q2) and P SU5(q2)

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. Prepublication
Authors
Gvozdev, Rodion I.; Nuzhin, Yakov N.; Sokolovskaya, Anna M.
Contact information
Gvozdev, Rodion I. : Siberian Federal University (Krasnoyarsk, Russian Federation); ; Nuzhin, Yakov N. : Siberian Federal University (Krasnoyarsk, Russian Federation); OCRID: 0009-0003-0426-9525; Sokolovskaya, Anna M. : Siberian Federal University (Krasnoyarsk, Russian Federation);
Keywords
unitary group; finite field; generating sets of conjugate involutions; matrix representations of groups
Abstract

For the special and projective special unitary groups of dimension 5 over a finite field of odd order, the minimal number of conjugate generating involutions whose product is equal to 1 is found, namely, it is proved that it is equal to 5

Pages
743–757
EDN
CONCWH
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/160123