# A unified approach to the Galois closure problem

Hau Wen Huang, Wen Ching Winnie Li

1 引文 斯高帕斯（Scopus）

## 摘要

In this paper we give a unified approach in categorical setting to the problem of finding the Galois closure of a finite cover, which includes as special cases the familiar finite separable field extensions, finite unramified covers of a connected undirected graph, finite covering spaces of a locally connected topological space, finite étale covers of a smooth projective irreducible algebraic variety, and finite covers of normal varieties. We present two algorithms whose outputs are shown to be desired Galois closures. An upper bound of the degree of the Galois closure under each algorithm is also obtained.

原文 ???core.languages.en_GB??? 251-279 29 Journal of Number Theory 180 https://doi.org/10.1016/j.jnt.2017.04.011 已出版 - 11月 2017

## 指紋

• ### 從宇艾斯基暨威爾斯代數至Uq(sl2)三折層張量積的同態變換

Huang, H.

1/10/1630/09/17

研究計畫: Research