Geodesic
On reductants of two groups
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 14 (2021) no. 5, pp. 566-572.

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In this paper we consider the reductant of the dihedral group $D_n$, consisting of a set of axial symmetries, and the sphere $S^2$ as a reductant of the group $\mathrm{SU}(2, \mathbb{C}) \cong S^3$ (the group of unit quaternions). By introducing the Sabinin's multiplication on the reductant of $D_n$, we get a quasigroup with unit.
Keywords: groups reductants, quasigroups. 
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Dmitry P. Fedchenko; Vitaly A. Stepanenko; Rustam V. Bikmurzin; Victoria V. Isaeva. On reductants of two groups. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 14 (2021) no. 5, pp. 566-572. http://geodesic.mathdoc.fr/item/JSFU_2021_14_5_a2/

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