A. V. Vasil'ev

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math.GR2024

On multivalued groups of order 3

Jin Guo, Ilia Ponomarenko, Andrey V. Vasil'ev

A complete classification of the multivalued coset groups of order $3$ is given. The proof is based on the classification of rank $3$ groups having regular normal subgroups.

math.GR2024

Closures of permutation groups with restricted nonabelian composition factors

Ilia Ponomarenko, Saveliy V. Skresanov, Andrey V. Vasil'ev

Given a permutation group $G$ on a finite set $I^c ◯$ , let $G^{(k)}$ denote the $k$ -closure of $G$ , that is, the largest permutation group on $I^c ◯$ having the same orbits in the induce…