The automorphisms of the finitary power monoid of the additive group of integers

主 讲 人 ：温可柔    

活动时间：05月08日16时30分    

地      点 ：理科群1号楼D203室 https://us06web.zoom.us/j/86763384947?pwd=qXhOzOcHvaaiw2jqADI8iqNavdgm14.1 会议 ID: 86763384947；密码: 612593

讲座内容：

Endowed with the binary operation of set addition carried over from the integers, the family $\mathcal P_{\mathrm{fin}}(\mathbb Z) $ of all non-empty finite subsets of $\mathbb Z$ forms a monoid whose neutral element is the singleton $\{0\}$.

Building upon recent work by Tringali and Yan [J. Combinatorial Theory Ser. A, 2025], I will show how to determine the automorphisms of $\mathcal P_{\mathrm{fin}}(\mathbb Z)$. In particular, we will find that the automorphism group of $\mathcal P_{\mathrm{fin}}(\mathbb Z)$ is isomorphic to the direct product of a cyclic group of order two by the infinite dihedral group.

主讲人介绍：

The speaker is a second-year Master’s student at the School of Mathematical Sciences, Hebei Normal University. Since June 2024, she has been conducting research on power semigroups under the supervision of Prof. Salvatore Tringali.

发布时间：2025-05-06 10:46:47