ON UNRAMIFIED SOLVABLE EXTENSIONS OF SMALL NUMBER FIELDS

被引：0
|
作者：
Konig, Joachim [1 ]
机构：
[1] Korea Natl Univ Educ, Dept Math Educ, Cheongju, South Korea
来源：
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2021年 / 103卷 / 03期
关键词：
Galois theory; nilpotent group; solvable group; unramified extension; CONSTRUCTION;
D O I：
10.1017/S0004972720001136
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We investigate unramified extensions of number fields with prescribed solvable Galois group G and certain extra conditions. In particular, we are interested in the minimal degree of a number field K, Galois over Q, such that K possesses an unramified G-extension. We improve the best known bounds for the degree of such number fields K for certain classes of solvable groups, in particular for nilpotent groups.
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页码：428 / 437
页数：10
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