天元讲堂(12.3)Designs with specific automorphism
报告题目: Designs with specific automorphism
报告人:常彦勋 北京交通大学教授 博士生导师
报告时间:2016年12月3日下午15:00
报告地点: 数学楼2楼学术报告厅
报告摘要:
Let v, k and t be positive integers such that v > k > t. A Steiner t-wise balanced design (briey S(t, k, v)) is a pair (X; B), where X is a set of v points and B is a set of k-subsets of X (called blocks) such that every t-subset of X is contained in a unique block. An automorphism group of a S(t, k, v) (X; B) is a permutation group on X leaving B invariant. In this talk, we consider Steiner t-wise balanced design with specific automorphism. Some direct and recursive constructions on this topics are summarized.