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arXiv math/9901144math.KT
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一致幂p-群的上同调

Cohomology of uniformly powerful p-groups

William Browder, Jonathan Pakianathan

摘要:

研究了p-中心幂p-群的上同调,并给出了p-中心幂p-群的某些扩张性质.这些群自然地与李代数相联系。本文开发了一种机器,计算的前几个条款的Bockstein谱序列在相关的李代数。然后,这是用来获得这些群体的积分上同调的结果。

英文摘要:

Studies the cohomology of p-central, powerful, p-groups with a certain extension property. These groups are naturally associated to Lie algebras. The paper develops a machinery that calculates the first few terms of the Bockstein spectral sequence in terms of the associated Lie algebras. This is then used to obtain results on the integral cohomology of these groups.

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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