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arXiv 2610.01966math.NTmath.GR

无限自由 pro-p 乘积作为绝对伽罗瓦群

Infinite free pro-p products as absolute Galois groups

Tamar Bar-On

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中文总结 AI 辅助

本文推广梅利尼科夫准则,建立自由 profinite 与自由 pro-p 乘积实现为绝对伽罗瓦群的联系。

中文摘要 AI 辅助

本文证明了梅利尼科夫准则的一个推广版本,该版本也已被哈兰证明,并利用它来联系自由 profinite 乘积和自由 pro-p 乘积(作为 pro-p 群层)实现为绝对伽罗瓦群的问题。

英文摘要

In this paper we prove a generalized version of Mel'nikov's Criterion, which has also been proved by Haran, and use it in order to connect the realization as absolute Galois groups of free pronite and free pro-p products of a sheaf of pro-p groups.

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