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### Cup-products and Transgression maps.

This question is related to Lyndon-Hochschild-Serre spectral sequence and cup products.
I have the followin result by J.S Milne in his book Arithmetic duality theorems pg 105.
Let $$0 \rightarrow C ...

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### Explicit transgression maps for Group homology in LHS

This question is related to another question of mine (Here: Lyndon-Hochschild-Serre spectral sequence and cup products).
I'm trying to figure out if some diagram commutes an one of the maps involved ...

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### Transgression maps in group cohomology and group homology / duality of spectral sequences

I am interested in whether the transgression maps for group cohomology and group homology are related via a version of the universal coefficient theorem.
Let $G$ be a group, $H$ a normal subgroup of ...