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arXiv 1607.07559math.AT
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对称积与子群格

Symmetric products and subgroup lattices

Markus Hausmann

摘要:

设G是有限群.证明了G-等变球谱的对称积的有理同伦群与G的子群格的某些子复形的有理同调群自然同构。

英文摘要:

Let G be a finite group. We show that the rational homotopy groups of symmetric products of the G-equivariant sphere spectrum are naturally isomorphic to the rational homology groups of certain subcomplexes of the subgroup lattice of G.

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