Branching Data for Algebraic Functions and Representability by Radicals

Abstract

The branching data of an algebraic function is a list of orders of local monodromies around branching points. We present branching data that ensure that the algebraic functions having them are representable by radicals. This paper is a review of recent work by the authors and of closely related classical work by Ritt.Comment: Submitted for publication to Banach Center Publications on April 1st, 201