Problems on Automatic Groups
Problems on Automatic Groups
复制标题
自动组的问题
DOI：
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发表时间：
1992
期刊：
影响因子：
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通讯作者：
S. Gersten
中科院分区：
文献类型：
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作者：
S. Gersten
本报告是关于1989年1月17日在管理系统研究所举行的自动分组讨论会的组织会议的报告。尽管会议的目的只是确定一个时间和第一个发言者，但比尔·瑟斯顿很快就发言了，一个接一个的与会者提出了关于自动分组的问题，这些问题当时都无法回答。把提出的这些问题记录下来，作为研究自动群体的指南，似乎是值得的。提出问题的参与者是瑟斯顿、G·鲍姆斯拉格、M·夏皮罗、H·肖特和作者。我们没有试图记录是谁提出了什么问题。在向大卫·爱泼斯坦发送了这份便条的草稿后，他提出了一些他认为应该包括在内的问题。杰夫·梅斯在初稿传阅后也提出了建议。他说，俄罗斯作家在20世纪70年代的S就考虑过自动群的概念；需要指出的是，这个更早的概念与这个问题集的主题[CEHPT]中介绍的概念没有任何关系。
This is a report on the organizational meeting of a seminar on automatic groups which took place at MSRI on 17 January 1989. Although the intention was merely to establish a time and a first speaker, Bill Thurston soon took the floor and one after another of the participants proposed questions on automatic groups, none of which could be answered at that time. It seemed worthwhile to record those questions asked as a guide to research into automatic groups. Participants proposing questions were Thurston, G. Baumslag, M. Shapiro, H. Short, and the author. We have not attempted to record who proposed what problem. After a draft of this note was sent to David Epstein, he proposed some problems he thought ought to be included. Geoff Mess also contributed suggestions after the first draft was circulated. He remarked that a notion of automatic groups was considered by Russian writers in the 1970’s; it is important to point out that this earlier notion has nothing to do with the notion introduced in [CEHPT], which is the subject of this problem set.