講座主題：Complementary products of a cyclic group and a dihedral group and their applications
專家姓名：Young Soo Kwon
工作單位：Yeungnam University
講座時間：2024年04月13日16:00-17:00
講座地點：數學院三樓會議室
主辦單位：煙臺大學數學與信息科學學院
內容摘要：
For two groups H and K, if a group G satisfies (i) G=HK and (ii) H \cap K = {id}, then we call G a complementary product of H and K. A complementary product of a cyclic group and a group H can be considered with skew morphism of H and its extended power functions. In this talk, we consider complementary products of a cyclic group and a dihedral group. For a dihedral group D of order 2m with odd m, we classified complementary products of a cyclic group and D by classifying all skew morphisms of D and their extended power functions. In this talk, we will also consider full classification of complementary products of a cyclic group and a dihedral group. Using relation between complementary products of a cyclic group and a dihedral group and regul ar generalized Cayley maps on cyclic group, we classified regular generalized Cayley maps on cyclic groups. This is joint work with Istvan Kovacs and Kan Hu.
主講人介紹：
Young Soo Kwon，韓國嶺南大學教授，國際知名的代數圖論學者，韓國圖論方向的領軍人物，在地圖理論和圖的對稱性研究方面做出了卓越貢獻。
權教授畢業于浦項工大，之后在嶺南大學工作，博士生導師。主持多項韓國自然科學基金以及中韓自然科學基金國際合作研究項目。在Journal of Combinatorial Theory, Series B、Journal of Graph Theory、Discrete Mathematics等國際著名期刊上發表學術論文60余篇。
