Open problems in combinatorial group theory

Open problems in combinatorial group theory
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组合群论中的开放问题

DOI:
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发表时间:
2005
期刊:
影响因子:
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通讯作者:
V. Shpilrain
V. Shpilrain
中科院分区:
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文献类型:
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作者:
G. Baumslag;A. Myasnikov;V. Shpilrain

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这是组合群论中的一系列开放问题,这些问题基于我们网站http://zebra.sci.ccny.cuny.edu/web/上的类似列表。在选择问题时,我们的选择部分取决于我们自己的品味。有见及此,我们欢迎社会人士提出建议。我们想强调的是,许多人对本汇编做出了贡献,特别是对背景部分。我们特别感谢R.Gilman、V.Remeslennikov、I.Kapovich、W.Dicks、V.Roman'kov和D.Wise提出的有益意见和讨论。尽管如此,我们承认,我们目前掌握的背景资料还远远不够完整,我们正在不断努力使其尽可能完整和全面。我们邀请感兴趣的读者查看我们的在线列表以获取最新更新。关于我们的政策,我们想在此指出的另一件事是,我们决定将清单初稿于1997年6月上网后已经解决的问题保留在清单上,因为我们认为这些问题无论如何都是清单的重要部分,因为它们与其他尚未解决的问题有关。已解决的问题用一个符号标记,并在背景中提供解决方案的参考。
This is a collection of open problems in combinatorial group theory, which is based on a similar list available on-line at our web site http://zebra.sci.ccny.cuny.edu/web/ In selecting the problems, our choices have been, in part, determined by our own tastes. In view of this, we have welcomed suggestions from other members of the community. We want to emphasize that many people have contributed to the present collection, especially to the Background part. In particular, we are grateful to R.Gilman, V.Remeslennikov, I.Kapovich, W.Dicks, V.Roman’kov, and D.Wise for useful comments and discussions. Still, we admit that the background we currently have is far from complete, and it is our ongoing effort to make it as complete and comprehensive as possible. We invite an interested reader to check on our on-line list for a latest update. One more thing concerning our policy that we would like to point out here, is that we have decided to keep on our list those problems that have been solved after the first draft of the list was put on-line in June 1997, since we believe those problems are an important part of the list anyway, because of their connections to other, yet unsolved, problems. Solved problems are marked by a ∗, and a reference to the solution is provided in the background.