2 papers
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 is given. The proof is based on the classification of rank groups having regular normal subgroups.
math.CO2024
The automorphism groups of small affine rank 3 graphs
Jin Guo, Andrey V. Vasil'ev, Rui Wang
A rank 3 graph is an orbital graph of a rank 3 permutation group of even order. Despite the classification of rank 3 graphs being complete, see, e.g., Chapter 11 of the recent mono…