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On reductants of two groups
Dmitry P. Fedchenko, Vitaly A. Stepanenko, Rustam V. Bikmurzin, Victoria V. Isaeva Siberian Federal University, Krasnoyarsk
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.
Keywords:
groups reductants, quasigroups.
Received: 04.02.2021 Received in revised form: 28.02.2021 Accepted: 06.03.2021
Citation:
Dmitry P. Fedchenko, Vitaly A. Stepanenko, Rustam V. Bikmurzin, Victoria V. Isaeva, “On reductants of two groups”, J. Sib. Fed. Univ. Math. Phys., 14:5 (2021), 566–572
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https://www.mathnet.ru/eng/jsfu941 https://www.mathnet.ru/eng/jsfu/v14/i5/p566
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Abstract page: | 130 | Full-text PDF : | 42 | References: | 29 |
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