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arXiv 1106.2883math.KTmath.AT
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关于正交群和特殊正交群的同调稳定性

On homological stability for orthogonal groups and special orthogonal groups

Masayuki Nakada

摘要:

同调稳定性问题有助于我们理解群同调的结构。我们计算了特殊的正交群的同调稳定性,并在一定条件下计算了具有行列式扭系数的正交群的稳定性。我们也得到了一些关于这些同调结构的结果。

英文摘要:

The problem of homological stability helps us to catch the structure of group homology. We calculate homological stability of special orthogonal groups, and we also calculate the stability of orthogonal groups with determinant-twisted coefficients under a certain good situation. We also get some results about the structure of these homology.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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