Hilbert's Theorem 90 for Finite Nilpotent Groups

IF 0.7 Q2 MATHEMATICS

International Journal of Group Theory Pub Date : 2019-08-13 DOI:10.22108/IJGT.2019.116275.1545

W. Cocke

引用次数: 0

Abstract

In this note we prove an analog of Hilbert’s theorem 90 for finite nilpotent groups. Our version of Hilbert’s theorem 90 was inspired by the Boston–Bush–Hajir (BBH) heuristics in number theory and will be useful in extending the BBH heuristics beyond quadratic field extensions.

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有限幂零群的希尔伯特定理

本文证明了有限幂零群的一个类似的希尔伯特定理90。我们对希尔伯特定理的版本受到了数论中的Boston-Bush-Hajir (BBH)启发式的启发，并将有助于将BBH启发式扩展到二次域扩展之外。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

International Journal of Group Theory MATHEMATICS-

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

30 weeks

期刊介绍： International Journal of Group Theory (IJGT) is an international mathematical journal founded in 2011. IJGT carries original research articles in the field of group theory, a branch of algebra. IJGT aims to reflect the latest developments in group theory and promote international academic exchanges.