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- W2763463013 abstract "In this paper we define and develop the theory of the cohomology of a profinite group relative to a collection of closed subgroups. Having made the relevant definitions we establish a robust theory of cup products and use this theory to define profinite Poincare duality pairs. We use the theory of groups acting on profinite trees to give Mayer-Vietoris sequences, and apply this to give results concerning decompositions of 3-manifold groups. Finally we discuss the relationship between discrete duality pairs and profinite duality pairs, culminating in the result that profinite completion of the fundamental group of a compact aspherical 3-manifold is a profinite Poincare duality group relative to the profinite completions of the fundamental groups of its boundary components." @default.
- W2763463013 created "2017-10-20" @default.
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- W2763463013 date "2017-10-02" @default.
- W2763463013 modified "2023-09-27" @default.
- W2763463013 title "Relative cohomology theory for profinite groups" @default.
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