Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2021 14 (5)
- Authors
- Fedchenko, Dmitry P.; Stepanenko, Vitaly A.; Bikmurzin, Rustam V.; Isaeva, Victoria V.
- Contact information
- Fedchenko, Dmitry P.: Siberian Federal University Krasnoyarsk, Russian Federation; ; Stepanenko, Vitaly A.: Siberian Federal University Krasnoyarsk, Russian Federation; Bikmurzin, Rustam V.: Siberian Federal University Krasnoyarsk, Russian Federation; Isaeva, Victoria V.: Siberian Federal University Krasnoyarsk, Russian Federation
- Keywords
- groups red; quasigroups
- Abstract
In this paper we consider the reductant of the dihedral group Dn, consisting of a set of axial symmetries, and the sphere S2 as a reductant of the group SU(2,C) ∼= S3 (the group of unit quaternions). By introducing the Sabinin’s multiplication on the reductant of Dn, we get a quasigroup with unit
- Pages
- 566–572
- DOI
- 10.17516/1997-1397-2021-14-5-566-572
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/143730
Journal of Siberian Federal University. Mathematics & Physics / On Reductants of Two Groups
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