Hurwitz Numbers for the Reflection Groups and.

This article, published in Mathematical Notes, discusses Hurwitz numbers for reflection groups. Hurwitz numbers are used to solve problems in combinatorics, topology, and algebraic geometry. The article explores the structure of the reflection groups and , and describes the conjugacy classes within these groups. It also discusses the relationship between Hurwitz numbers and cut-and-join equations. The article concludes with a discussion of the KP hierarchy and its connection to Hurwitz numbers. The research was funded by the National Research University Higher School of Economics and the International Laboratory of Cluster Geometry. [Extracted from the article]