Pro-p Poincar\'e-Duality groups of infinite rank
Abstract
We introduce the class of 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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