6 citations · 6 across the 13 of their papers we have counts for
13 papers
A Counterexample to a Conjecture of Moreto
Gang Chen, Wenhua Zhao
As an extension of the It^o-Michler theorem to the nonabelian or nonnormal Sylow subgroups, A. Moreto raised the following conjecture: let G be a finite group and P a Sylow p-subgr…
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…
An affirmative answer to a question on connectivity of p-subgroup posets with irreducible characters
Gang Chen, Wenhua Zhao
Let be a prime, a nonnegative integer, and G a finite p-group with dividing . Let I be the intersection of all subgroups of order in . It is pro…
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…
On the number of primitive and quasi-primitive irreducible characters in finite groups
Riad Youmbai, Gang Chen
In this short note, it is proved that both the number of primitive characters and the number of quasi-primitive characters in a finite group is divisible by , where $G'…
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…
On multidimensional Schur rings of finite groups
Gang Chen, Qing Ren, Ilia Ponomarenko
For any finite group and a positive integer , we define andstudy a Schur ring over the direct power , which gives an algebraic interpretation of the partition of …
Notes on finite totally -closed permutation groups
Gang Chen, Qing Ren
Let be a normal subgroup of a finite group . For a faithful -set , applying the university embedding theorem one can construct a faithful -set . In this short no…
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…
Schur Rings over Z \times Z_3
Gang Chen, Jiawei He
For the direct product $\cZ\times \cZ_3$ of infinite cyclic group $\cZ$ and a cyclic group $\cZ_3$ of order , the schur rings over it are classified. In particular, all the schu…
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…
Coherent configurations associated with TI-subgroups
Gang Chen, Ilia Ponomarenko
Let X be a coherent configuration associated with a transitive group G. In terms of the intersection numbers of X, a necessary condition for the point stabilizer of G to be a TI-su…
The Schur-Wielandt theory for central S-rings
Gang Chen, Mikhail Muzychuk, Ilya Ponomarenko
Two basic results on the S-rings over an abelian group are the Schur theorem on multipliers and the Wielandt theorem on primitive S-rings over groups with a cyclic Sylow subgroup.…