关于Bergman紧致合并问题的一些思考和实验

IF 0.4 Q4 MATHEMATICS

Beitrage zur Algebra und Geometrie-Contributions to Algebra and Geometry Pub Date : 2023-09-13 DOI:10.1007/s13366-023-00709-8

Michael Joswig, Mario Kummer, Andreas Thom, Claudia He Yun

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引用次数: 0

摘要

摘要研究了$$\textrm{SU}(3)$$ SU(3)中$$S^{1}$$ s1的拷贝能否合并成紧群的问题。这是乔治·伯格曼在1987年提出的紧群理论中一个基本开放问题的最简单实例。大量的计算实验表明，在这种情况下，答案是肯定的。我们利用理论方法得到了一个松弛问题的正解。

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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Some thoughts and experiments on Bergman’s compact amalgamation problem

Abstract We study the question whether copies of $$S^{1}$$ S 1 in $$\textrm{SU}(3)$$ SU ( 3 ) can be amalgamated in a compact group. This is the simplest instance of a fundamental open problem in the theory of compact groups raised by George Bergman in 1987. Considerable computational experiments suggest that the answer is positive in this case. We obtain a positive answer for a relaxed problem using theoretical considerations.

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来源期刊

Beitrage zur Algebra und Geometrie-Contributions to Algebra and Geometry MATHEMATICS-

CiteScore

1.20

自引率

0.00%

发文量

期刊介绍： The Journal "Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry" was founded in 1971 on the occasion of the 65th birthday of O.-H. Keller. It publishes research articles in the areas of algebra, geometry, algebraic geometry and related fields, preferably in English language. The back issues of the journal are available at the European Digital Mathematics Library (EuDML) at: https://eudml.org/journal/10170 (Vols. 1-33, 1971-1992) https://eudml.org/journal/10084 (Vols. 34-51, 1993-2010)