Geodesic
On a Family of Multivalued Groups
Informatics and Automation, Topology, Geometry, Combinatorics, and Mathematical Physics, Tome 326 (2024), pp. 311-313 Cet article a éte moissonné depuis la source Math-Net.Ru

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For a family of $(2k+1)$-valued groups ($k\ge 1$) of three elements, we prove that a group from this family is a coset group if and only if $4k+3$ is a prime power. We also discuss the relation between three-element coset multivalued groups and finite groups of rank $3$.
Keywords: multivalued group, coset group, group of rank 3. 
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I. N. Ponomarenko. On a Family of Multivalued Groups. Informatics and Automation, Topology, Geometry, Combinatorics, and Mathematical Physics, Tome 326 (2024), pp. 311-313. http://geodesic.mathdoc.fr/item/TRSPY_2024_326_a12/

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