Some Hopf Galois structures arising from elementary abelian p-groups

被引：7

作者：

Childs, Lindsay N. ^{[1
]}

机构：

[1] SUNY Albany, Dept Math & Stat, Albany, NY 12222 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2007年 / 135卷 / 11期

关键词：

D O I：

10.1090/S0002-9939-07-08888-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let p be an odd prime, G = Z(p)(m), the elementary abelian p-group of rank m, and let G be the group of principal units of the ring F-p[ x]/(x(m+ 1)). If L/ K is a Galois extension with Galois group G, then we show that for p = 5, the number of Hopf Galois structures on L/ K a. orded by K-Hopf algebras with associated group G is greater than p(s), where s = (m- 1)(2)/3-m.

引用

页码：3453 / 3460

页数：8

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