论文标题
B. B.纽曼拼写定理
The B. B. Newman Spelling Theorem
论文作者
论文摘要
本文旨在成为B. B. Newman拼写定理的历史的独立描述，包括其出现的历史背景。首先，对B. B. Newman的说明以及他如何证明他的拼写定理，以及对作者追踪此信息的努力的描述。在此之后，给出了组合群体理论的高级描述。然后将其描述为“问题”一词的历史，这是该地区的基本问题。在描述了一些单级群体的某些理论之后，描述了组合群体理论的重要部分，描述了此类群体中的自然划分线和无扭转的情况。这最终在有关B. B. Newman拼写定理及其重要性的一般性讨论中达到顶峰。
This article aims to be a self-contained account of the history of the B. B. Newman Spelling Theorem, including the historical context in which it arose. First, an account of B. B. Newman and how he came to prove his Spelling Theorem is given, together with a description of the author's efforts to track this information down. Following this, a high-level description of combinatorial group theory is given. This is then tied in with a description of the history of the word problem, a fundamental problem in the area. After a description of some of the theory of one-relator groups, an important part of combinatorial group theory, the natural division line into the torsion and torsion-free case for such groups is described. This culminates in a statement of and general discussion about the B. B. Newman Spelling Theorem and its importance.
