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(shù)學(xué)院三樓會議室
主辦單位：煙臺大學(xué)數(shù)學(xué)與信息科學(xué)學(xué)院
內(nèi)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(xué)教授，國際知名的代數(shù)圖論學(xué)者，韓國圖論方向的領(lǐng)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(quán)教授畢業(yè)于浦項工大，之后在嶺南大學(xué)工作，博士生導(dǎo)師。主持多項韓國自然科學(xué)基金以及中韓自然科學(xué)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(fā)表學(xué)術(shù)論文60余篇。
