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Titlebook: Combinatorial Methods; Free Groups, Polynom Alexander A. Mikhalev,Vladimir Shpilrain,Jie-Tai Y Book 2004 Springer Science+Business Media Ne

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发表于 2025-3-21 17:03:11 | 显示全部楼层 |阅读模式
书目名称Combinatorial Methods
副标题Free Groups, Polynom
编辑Alexander A. Mikhalev,Vladimir Shpilrain,Jie-Tai Y
视频videohttp://file.papertrans.cn/230/229938/229938.mp4
概述Includes supplementary material:
丛书名称CMS Books in Mathematics
图书封面Titlebook: Combinatorial Methods; Free Groups, Polynom Alexander A. Mikhalev,Vladimir Shpilrain,Jie-Tai Y Book 2004 Springer Science+Business Media Ne
描述This book is about three seemingly independent areas of mathematics: combinatorial group theory, the theory of Lie algebras and affine algebraic geometry. Indeed, for many years these areas were being developed fairly independently. Combinatorial group theory, the oldest of the three, was born in the beginning of the 20th century as a branch of low-dimensional topology. Very soon, it became an important area of mathematics with its own powerful techniques. In the 1950s, combinatorial group theory started to influence, rather substantially, the theory of Lie algebrasj thus combinatorial theory of Lie algebras was shaped, although the origins of the theory can be traced back to the 1930s. In the 1960s, B. Buchberger introduced what is now known as Gröbner bases. This marked the beginning of a new, "combinatorial", era in commu­ tative algebra. It is not very likely that Buchberger was directly influenced by ideas from combinatorial group theory, but his famous algorithm bears resemblance to Nielsen‘s method, although in a more sophisticated form.
出版日期Book 2004
关键词Dimension; Group theory; Lie; Topology; algebra; algebraic geometry; geometry; mapping; mathematics; theorem
版次1
doihttps://doi.org/10.1007/978-0-387-21724-6
isbn_softcover978-1-4419-2344-8
isbn_ebook978-0-387-21724-6Series ISSN 1613-5237 Series E-ISSN 2197-4152
issn_series 1613-5237
copyrightSpringer Science+Business Media New York 2004
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发表于 2025-3-21 20:32:31 | 显示全部楼层
Sliding Modes in Control of Electric Motors name just a few. Very soon, combinatorial group theory became an independent area of mathematics with its own powerful techniques. New, purely combinatorial methods were created by O. Schreier, R. Fox, W. Magnus, A. G. Kurosh, R. C. Lyndon, and many others.
发表于 2025-3-22 01:38:38 | 显示全部楼层
发表于 2025-3-22 07:48:18 | 显示全部楼层
1613-5237 of Lie algebras and affine algebraic geometry. Indeed, for many years these areas were being developed fairly independently. Combinatorial group theory, the oldest of the three, was born in the beginning of the 20th century as a branch of low-dimensional topology. Very soon, it became an important
发表于 2025-3-22 10:01:19 | 显示全部楼层
https://doi.org/10.1007/978-981-10-8473-7here a complete exposition of these techniques is given. For an exposition of Nielsen’s and Schreier’s methods, we recommend [231], whereas [227] has, in our opinion, a better exposition of Whitehead’s and Tietze’s methods.
发表于 2025-3-22 13:26:55 | 显示全部楼层
发表于 2025-3-22 17:24:42 | 显示全部楼层
Classical Techniques of Combinatorial Group Theoryhere a complete exposition of these techniques is given. For an exposition of Nielsen’s and Schreier’s methods, we recommend [231], whereas [227] has, in our opinion, a better exposition of Whitehead’s and Tietze’s methods.
发表于 2025-3-22 23:29:38 | 显示全部楼层
发表于 2025-3-23 04:51:17 | 显示全部楼层
Introduction name just a few. Very soon, combinatorial group theory became an independent area of mathematics with its own powerful techniques. New, purely combinatorial methods were created by O. Schreier, R. Fox, W. Magnus, A. G. Kurosh, R. C. Lyndon, and many others.
发表于 2025-3-23 07:58:59 | 显示全部楼层
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