On Maps from Loop Suspensions to Loop Spaces and the Shuffle Relations on the Cohen Groups(Memoirs of the American Mathematical Society)

从圈中止到圈空间及科恩群的Shuffle关系

拓扑学

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作      者
出版时间
2006年01月30日
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平装
ISBN
9780821838754
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页      码
64
语      种
英文
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图书简介
The maps from loop suspensions to loop spaces are investigated using group representations in this article. The shuffle relations on the Cohen groups are given. By using these relations, a universal ring for functorial self maps of double loop spaces of double suspensions is given. Moreover the obstructions to the classical exponent problem in homotopy theory are displayed in the extension groups of the dual of the important symmetric group modules Lie((n)), as well as in the top cohomology of the Artin braid groups with coefficients in the top homology of the Artin pure braid groups.
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