关于Andreadakis-Johnson滤过
Around the Andreadakis-Johnson filtration
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中文总结 AI 辅助
该研究围绕群论中有用的Andreadakis-Johnson滤过及Johnson同态，在解释其基础后，综述相关经典与最新结果，重点关注带一个边界的曲面的映射类群。
中文摘要 AI 辅助
Andreadakis-Johnson滤过及其相关构造Johnson同态是群论中的有用工具，为研究给定群的自同构提供了逐步方法。在解释基础后，我们综述围绕Andreadakis-Johnson滤过的经典与最新结果，重点关注带一个边界的曲面的映射类群。
英文摘要
The Andreadakis-Johnson filtration and its associated construction, known as the Johnson homomorphism, are useful tools in group theory. They provide a step-by-step approach to studying the automorphisms of a given group. After explaining the basics we survey both classical and recent results around the Andreadakis-Johnson filtration, with emphasis on the mapping class group of a once-bordered surface.
