A unified approach to the Galois closure problem

Hau Wen Huang, Wen Ching Winnie Li

研究成果: 雜誌貢獻期刊論文同行評審

1 引文 斯高帕斯(Scopus)


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.

頁(從 - 到)251-279
期刊Journal of Number Theory
出版狀態已出版 - 11月 2017


深入研究「A unified approach to the Galois closure problem」主題。共同形成了獨特的指紋。