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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc94-0-6,
author = {Y. Burda and A. Khovanskii},
title = {Branching data for algebraic functions and representability by radicals},
journal = {Banach Center Publications},
volume = {95},
year = {2011},
pages = {131-142},
zbl = {1268.12002},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc94-0-6}
}
Y. Burda; A. Khovanskii. Branching data for algebraic functions and representability by radicals. Banach Center Publications, Tome 95 (2011) pp. 131-142. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc94-0-6/