Galois module structure of some elementary p-abelian extensions

被引：1

作者：

Heller, Lauren ^{[1
]}

Minac, Jan ^{[2
]}

Nguyen, Tung T. ^{[2
]}

Schultz, Andrew ^{[3
]}

Tan, Nguyen Duy ^{[4
]}

机构：

[1] Univ Calif Berkeley, Dept Math, 970 Evans Hall 3840, Berkeley, CA 94720 USA

[2] Western Univ, Dept Math, London, ON N6A 5B7, Canada

[3] Wellesley Coll, Dept Math, 106 Cent St, Wellesley, MA 02481 USA

[4] Hanoi Univ Sci & Technol, Sch Appl Math & Informat, Hanoi, Vietnam

来源：

ISRAEL JOURNAL OF MATHEMATICS | 2023年 / 257卷 / 02期

基金：

加拿大自然科学与工程研究理事会;

关键词：

PTH-POWER CLASSES;

D O I：

10.1007/s11856-023-2540-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We determine the Galois module structure of the parameterizing space of elementary p-abelian extensions of a field K when Gal(K/F) is any finite p-group, under the assumption that the maximal pro-p quotient of the absolute Galois group of F is a free, finitely generated pro-p group, and that F contains a primitive pth root of unity if char(F) not equal p.

引用

页码：389 / 408

页数：20

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