supported by the National Natural Science Foundation of China(Grant No.11871224).
We state that the flag-transitive automorphism group of a 2-(v,5,λ)design D is primitive of affine type or almost simple type.W e also find that there are up to isomorphism 202-(v,5,λ)designs admitting flag-transiti...
In [5, 6] the relationships between test words, generic elements, almost primitivity and tame almost primitivity were examined in free groups. In this paper we extend the concepts and connections to general free produ...
supported by National Natural Foundation of China(Grant No.10731040);supported by National Natural Foundation of China(Grant No.11001249);Ph.D.Programs Foundation of Ministry of Education of China (Grant No.20093127110001);Zhejiang Innovation Project(Grant No.T200905)
Let Circ(r, n) be a circular graph. It is well known that its independence number α(Circ(r, n)) = r. In this paper we prove that for every vertex transitive graph H, and describe the structure of maximum indepe...
It is proved that the Smash product is a primitive algebra,where Bq is the Hopfalgebra corresponding to the compact quantum group SqU(2) and Cq is a Hopf-subalgebra of the topological dual.