5 papers · 1 filter
On circulant ternary coherent configurations of prime degree
Gang Chen, Qing Ren, Ilia Ponomarenko
Ternary coherent configurations are, on the one hand, a special case of multidimensional coherent configurations introduced by L. Babai (2016), and, on the other hand, a natural ge…
On the Weisfeiler algorithm of depth- stabilization
Gang Chen, Qing Ren, Ilia Ponomarenko
An origin of the multidimensional Weisfeiler-Leman algorithm goes back to a refinement procedure of deep stabilization, introduced by B. Weisfeiler in a paper included in the colle…
Schur rings over infinite dihedral group
Gang Chen, Jiawei He, Zhiman Wu
Schur rings over the infinite dihedral group are studied according to properties of Schur rings over infinite groups and the classification of Sch…
Tensor products of coherent configurations
Gang Chen, Ilia Ponomarenko
A Cartesian decomposition of a coherent configuration is defined as a special set of its parabolics that form a Cartesian decomposition of the underlying set. It turns out…
A characterization of exceptional pseudocyclic association schemes by multidimensional intersection numbers
Gang Chen, Jiawei He, Ilia Ponomarenko +1
Recent classification of -transitive permutation groups leaves us with three infinite families of groups which are neither -transitive, nor Frobenius, nor one-dimen…