会议时间:2024年11月15日(周五)14:30-16:30
会议地点:豁然楼A510
报告1:On isomorphisms of Cayley digraphs and bi-Cayley graphs
报告人:谢金华
内容简介:Let m be a positive integer. A group G is said to be an m-DCI-group or an m-BCI-group if G has the k-DCI property or k-BCI property for all positive integers k at most m, respectively. Begun with a conjecture proposed by Adam in 1967, finite m-DCI-groups have been extensively studied for over fifty years. Subsequently, finite m-BCI-groups has also been extensively studied by scholars. In this talk, we discuss some isomorphic problems of Cayley digraphs and bi-Cayley graphs over some given groups.
报告2:A complete classification of shuffle groups
报告人:张志硕
内容简介:For positive integers k and n, the shuffle group Gk,kn is generated by the k! permutations of a deck of kn cards performed by cutting the deck into k piles with n cards in each pile, and then perfectly interleaving these cards following a certain permutation of the k piles. In this talk, we present a complete classification of shuffle groups and discuss several conjectures and open problems.