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arXiv · 2311.13992

Pro-$p$ Poincar\'{e}-Duality groups of infinite rank

Tamar Bar-On
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Abstract

We introduce the class of \textit{Generalized Poincar\'{e}-Duality groups}: i.e, pro-$p$ groups of infinite rank which satisfy a Poincar\'{e}-duality. We prove some basic properties of Generalized Poincar\'{e}-Duality groups, and show that under some conditions, a group that fits into an exact sequence of GPD groups must be a Demushkin group.

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Tamar Bar-On. 2023-11-23. Pro-$p$ Poincar\'{e}-Duality groups of infinite rank. https://arxiv.org/abs/2311.13992

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